if the supplement of an angle is increased by 45°,it equals four times its complement.find the angle.
Answers
Given : supplement of an angle is increased by 45°, It equals four times its complement.
To Find : the angle.
Solution:
complementary angles add to 90°
supplementary angles add up to 180°
Let say Angle = A
Supplement = 180° - A
Complement = 90° - A
supplement of an angle is increased by 45°
= 180° - A + 45°
= 225° - A
It equals four times its complement.
=> 225° - A = 4( 90° - A)
=> 225° - A =360° - 4A
=> 3A = 135°
=> A = 45°
the angle = 45°
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