Math, asked by malodymeloy0606, 4 months ago

he difference between the measures of the supplement and the complement of an angle is 90°
right or wrong

Answers

Answered by vaishnavisharm678
1

answer is right.. tick... mark me as brainliest

Answered by Dhruv4886
0

It is true that

"The difference between Supplementary angle and Complementary angle of an angle is 90°"

Given:

The difference between the measures of the supplement and the complement of an angle is 90°

To find:

Check whether given statement is right or wrong

Solution:

Let's remember few points about the supplementary and the complementary angles

Supplementary angles:

  • The pair of angles whose sum up to 180° are known as Supplementary angles
  • The Supplementary angle of A is (180-A)°  
  • Example: (90°, 90°) (160°, 30°) etc.

Complementary angles:

  • The pair of angles whose sum up to 90° are known as Complementary angles
  • The Supplementary angle of A is (90-A)°  
  • Example: (45°, 45°) (40°, 50°) etc.  

Let P be a angle  

Supplementary angle of P = (180 - P)°

Complementary angle of P = (90 - P)°

Now find difference between Supplementary angle of P and Complementary angle of P  

⇒ (180 - P)° - (90 - P)° = 180° - P - 90° + P = 90°

Therefor, we can conclude that

The difference between Supplementary angle and Complementary angle of an angle will be 90°

#SPJ2

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