Respuesta :

CastleRook
This is the concept of trigonometry, the value of the measure of the supplementary angles can be obtained as follows;
supplementary angles sum up to 180 degrees, thus;
(2x+3)+(3x+2)=180
2x+3+3x+2=180
collecting like terms we get:
2x+3x+3+2=180
5x+5=180
5x=180-5
5x=175
thus;
x=175/5
x=35
Thus the value of the angles will be:
3x+2
=35*3+2
=107
the size of the other angle will be:
180-107
=73

The measure of each of the supplementary angles are; D: 73° and 107°

How to find supplementary Angles?

According to angle definitions, two angles are said to be supplementary if they sum up to 180°.

We are given the two supplementary angles as;

(2x+3) degrees and (3x+2) degrees.

Thus;

2x + 3 + 3x + 2 = 180

5x + 5 = 180

5x = 175

x = 175/5

x = 35°

Thus;

First angle = 2(35) + 3 = 73°

Second Angle = 3(35) + 2 = 107°

Read more about Supplementary angles at; https://brainly.com/question/2046046

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