Question

The sum of an angle and 1/3 of its supplementary angle is 90 .the measure of angle is. A) 135. B) 120. C) 60. D) 45

Answer 1

hi............... ..........

Answer 2

let the measure of required angle be'x '

according to question,

x + 1 / 3 ( 180 - x ) = 90

x + 180/3 - x / 3 = 90

x + 60 - x / 3 = 90

( x - x /3 ) = 90 - 60

( 3x - x ) / 3 = 30

2x = 30 × 3

2x = 90

x = 45°

therefore , measure of required angle is 45°
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Your Answer : 45°
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