if the angle is four times its complement is 10° less than twice its supplement , then the measure of the angle is ?
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Solution:-
Let the angle be x
Before going to solve the Question first you should what is Complement angle and what is Supplement angles.
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.
Now , According to the Question
4(90-x) = 2 (180-x) -10
→ 360 -4x = 360 -2x -10
→ 360 -4x = 350 -2x
→ 360 -350 = -2x +4x
→ 10 = 2x
→ x = 10/2
→ x = 5°
Therefore the measure of angle is 5° .
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dis is the answer
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