Question

find the measure of the angles, if the measure of the larger angle of two supplementary angles is 30° more than the measure of the smaller angles
please tell me answer step by step please ​

Answer 1

Answer:

supplementary angles = sum of such angles is 180° . so according to our Q

let the smaller angle = x

then , larger angle = x + 30°

so,. x+x+30° = 180°

2x + 30 = 180

2x = 180-30

x = 150/2

x = 75

so smaller angle is 75°

while its supplementary angle is 30°+75° = 105°

this is ur required answer

Answer 2

Answer:

Let the smaller angle be x and the bigger angle be x+30.

We know that sum of supplementary angles is 180, So x+(x+30) = 180

x+x+30=180

2x+30=180

2x=180-30=150

x=150/2

x=75

Answer: smaller angle= 75° and bigger angle=105°