Find the angle which is four times its complement is 10 less than twice its supplement. Define the angle and its complement: Let the angle be x.
Find the angle which is four times its complement is 10 less than twice its supplement x = 2 (90 - x) - 10 Distribute the 2: x = 180 - 2x - 10 Combine like terms: x = 170 - 2x Aug 10, 2018 · The options for this question are missing. Oct 20, 2023 · The angle that is four times its complement and 10° less than twice its complement is 60°. This was determined through setting up two equations based on the information provided and solving them. Here are the missing options: a)15° b)10° c)25° d)5° Answer: First of all we will solve this, 4 (90 - a) = 2 (180 - a) - 10 360 - 4a = 360 - 2a - 10 2a = 10 a = 5° The answer for this question is 5° If there is any confusion please leave a comment below. Complement angle of x = 90° - x Supplementary angle of x = 180° - x So, According to statement, we have Hence, required angle is 5°. 1. When the sum if two angle is 90° then are called Complementary angle while when the sum of two angle is 180° then they are called as supplementry angle. Expand the equation: Now, we will expand the right side of Jun 7, 2024 · To solve the problem, we will define the angle and use some algebra to find its measure. Therefore, we can write the equation: x =4(90−x) 3. Therefore, the measure of the angle is 48o. The complement of the angle x is given by (90 - x). Set up the equation: According to the problem, the angle x is four times its complement. Find the supplement of the angle. Set up the equation: According to the problem, six times the complement of the angle is 12 degrees less than twice its supplement. x = 4 (90 - x) Distribute the 4: x = 360 - 4x Add 4x to both sides: 5x = 360 Divide by 5: x = 722. , The supplement of an angle is twenty-three more than two times its complement. Thus, we can write the equation: 6×(90o−x)=2×(180o−x)−12o Since both expressions equal 252o, our solution is verified. Feb 14, 2025 · Appropriate Question: Find the angle which is four times its complement is 10° less than twice its supplement. a)15°b)10°c)25°d)5°Correct answer is option 'D'. Find the measure of the angle. The complement of the angle x is given by 90−x. Sep 21, 2020 · The measure of an angle is 10 less than 4 times the measure of its complement. The complement of an angle x is given by 90∘−x. Five times the complement of an angle less 3 times the complement of the same angle is equivalent to trisecting a right angle. Step-By-Step Solution Step 1 Set up the equation based on the problem statement: 4(90°−x)= 2(90°−x)−10° Step 2 Distribute on both sides: 360°−4x = 180 Here you can find the meaning of Find the angle which is four times its compliment is 10° less than twice its complement. If four times an angle is 12 degree more than twice the difference between its supplement and its complement,then find the angle,its complement and its supplement. Jun 28, 2020 · Find the angle which is four times its compliment is 10° less than twice its complement. Oct 6, 2019 · Step-by-step explanation: Here's the answer to your question. This calculator has 3 inputs. Now , According to the Question 4 (90-x) = 2 (180-x) -10 → 360 -4x = 360 -2x -10 → 360 -4x = 350 Study with Quizlet and memorize flashcards containing terms like Find the measure of an angle that is four hundred twenty less than three times its supplement. The angle is 10 degrees less than twice its complement: x = 2 (90 - x) - 10Solving the EquationsLet's solve the given equations to find the value of 'x'. Let the angle be = x = Its complement = 90-x and its supplement = 180-x According to the question, 7 (90-x) = 3 (180-x) -10 = 630 - 7x = 540- 3x -10 = 630-7x = 530-3x = 630-530 = -3x+7x (Transposing -7x and 530) = 100 = 4x = x= 25 THUMBS UP PLZ!!! Nov 13, 2020 · S ol ution: - Let the angle be x Before going to solve the Question first you should what is Complement angle and what is Supplement angles. Free Complementary and Supplementary Angles Calculator - This calculator determines the complementary and supplementary angle of a given angle that you enter OR it checks to see if two angles that you enter are complementary or supplementary. Define the angle and its complement: Let the angle be x. Aug 23, 2020 · The Questions and Answers of Find the angle which is four times its compliment is 10° less than twice its complement. Aug 1, 2024 · To find the angle that is four times its complement and is also 10 degrees less than twice its complement, let's denote the unknown angle as x degrees. Mar 8, 2020 · Find the angle where twice its complement is 10 degree less than 4 time its complement. Answer: Step-by-step explanation: Let assume that required angle be x such that four times its complement is 10° less than twice its supplement. , The supplement of an angle is 12 less than 3 times the angle. Then, we will equate this to the required information given in this problem (that is, four times the complement of the angle). 2. a)15°b)10°c)25°d)5°Correct answer is option 'D'. May 30, 2025 · The complement of the angle is given by 90°−x. According to the problem, we have the equation: 4(90°−x)= 2(90°−x)−10° This equation can be solved to find the value of x. To find the angle which is four times its complement, we can follow these steps: 1. Find the angle and its complement. . Study with Quizlet and memorize flashcards containing terms like The complement of an angle is 15 more than twice the angle. ccjjiheqsyxegrarmqnrbxglouemsmtwegewzgdptpusfhffahwxgfgiufcflgllyjmrjrjq