Find an angle which is 36°
less than its complement.
Answers
Answered by
1
Answer:
144
Step-by-step explanation:
180-36=144
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Answered by
5
Answer- The above question is from the chapter 'Lines and Angles'.
Complementary Angles: Two angles are said to be supplementary if sum of their measures is 90°.
Examples:
1) 80° and 10°
2) 20° and 70°
3) 30° and 60°
4) 45° and 45°
5) 90° and 0°
To find complement of a given angle x, we must subtract x from 90°.
Given question: Find an angle which is 36° less than its complement.
Solution: Let the angle be x°. Its complement = (90 - x)°.
According to the question,
(90° - x) - x = 36°
-2x = 36° - 90°
-2x = -54°
2x = 54°
x = 27°
∴ Required angle = 27°.
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