Question

if the supplement of an angleis four times its complement then the angle is​

Answer 1

$\huge{\underline{\sf{\blue{Answer:-}}}}$

Let Supplementary angle be ( 180 - x )

Let complementary angle be 4( 90 - x)

According to question :-

= 4( 90 - x) = ( 180 - x )

= 360 - 4x = 180 - x

= 360 - 180 = -x - 4x

= 180 = -5x

= 180/5 = x

= 36°

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Answer 2

Answer:

Let Supplementary angle be ( 180 - x )

Let complementary angle be 4( 90 - x)

according to Question:-

= 4( 90 - x) = ( 180 - x )

= 360 - 4x = 180 - x

= 360 - 180 = -x - 4x

= 180 = -5x

= 180/5 = x

= 36°