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:

Let the measure of the supplementary angles be x and (x + 36). Therefore, measures of the supplementary angles are 72° and (72 + 36) i.e. 108°.

Answer 2

Answer:

75

Step-by-step explanation:

Let the larger angle be x, and the smaller angle will be 180 - x

From the question we know that:

(180 - x) + 30 = x

We can now shift the values:

-x + 180 + 30 = x

Now we just solve it:

-x + 210 = x

We shift 210 to RHS

-x = x - 210

We subtract -x from both sides

-x - x = x - 210 - x

-2x = 210

Now we solve it like a normal equation

-x = 210/2 = -105

x = 105

We have x(larger angle) as 105 so smaller angle =

180 - x = 180 - 105 = 75