Question

among two supplementary angles the measure of the larger angle is 36 degree more than the measure of the similar find their measures

Answer 1

sum of two supplementary angle = 180°
let small angle be x then larger angle is x +36
x + x +36= 180
2x = 180- 36
2x = 144
x = 72•
then larger is 108°

Answer 2

$\huge\boxed{\mathbb{\fcolorbox{pink}{orange}{HEY MATE}}}$

$<b><i>$Let the measures of smaller angle be x and larger angle be x + 36°

A/q,

x + x + 36° = 180°

=> 2x = 180° - 36°

=> 2x = 144°

=> x = 144°/2

=> x = 72°

•°• Required angles measures

smaller angle = x = 72°

and larger angle = x + 36° = 72 + 36 = 108°