If an angle is 30° more than one half of its complement,find the measure of the angle .
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Let the angle is 'x'.
So, its complementary angle is ( 90° - x ).
A/Q ,
⇒ x = [ ( 90⁰ - x ) / 2 ] + 30°
⇒ x = 45° - x/2 + 30°
⇒ x + x/2 = 75°
⇒ 3 x / 2 = 75°
⇒ 3 x = 75°× 2
⇒ 3 x = 150°
⇒ x = 150° / 3 = 50°
So, the angle is 50°.
So, its complementary angle is ( 90° - x ).
A/Q ,
⇒ x = [ ( 90⁰ - x ) / 2 ] + 30°
⇒ x = 45° - x/2 + 30°
⇒ x + x/2 = 75°
⇒ 3 x / 2 = 75°
⇒ 3 x = 75°× 2
⇒ 3 x = 150°
⇒ x = 150° / 3 = 50°
So, the angle is 50°.
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