The difference between an angle and its complement is 10° find measure of larger number.​

2 thoughts on “The difference between an angle and its complement is 10° find measure of larger number.​”

1. SOLUTION

   GIVEN

   The difference between an angle and its complement is 10°

   TO DETERMINE

   The measure of larger angle

   CONCEPT TO BE IMPLEMENTED

   Two angles are said to be complement if sum of the angles = 90°

   EVALUATION

   Let an angle = θ

   Then its complement = 90° – θ

   Now it is given that the difference between an angle and its complement is 10°

   So by the given condition

   90° – θ – θ = 10°

   ⇒ 90° – 2θ = 10°

   ⇒ – 2θ = 10° – 90°

   ⇒ 2θ = 80°

   ⇒ θ = 40°

   So the required angle = 40° and its complement = 50°

   ∴ The measure of larger angle = 50°

   FINAL ANSWER

   The measure of larger angle = 50°

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2. Answer:

   50°

   Step-by-step explanation:

   let angles is x° then its complement is 90 – x° . Now given x°- (90 – x° ) = 10

   ⇒ x° – 90°+ x°= 10

   ⇒ 2x° = 10 + 90 = 100

   ⇒ x° = 100°/2 = 50° ∴

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