Respuesta :
The measure of the angles are 91.375°and 88.625°. Both the angles are obtained by the supplementary angle principal.
What exactly are supplementary angles?
Supplementary angles are two angels whose total is 180 degrees. When a straight line is crossed by a line, two angles develop on each of the examined straight line's sides.
Two sets of additional angles make up those two-two angles. That is, if supplementary angles are placed next to each other, the exterior sides of their exterior sides will form a straight line.
The given data in the problem is;
∠1 = 9y-2
∠2 = 7y+16
The sum of the supplementary angle is 180
⇒9y-2 +7y+16 = 180
⇒16y +14 =180
⇒16y= 166
⇒ y=10.375
The measure of the angle 1 is;
∠1 = 9y-2
∠ 1 = 9 ×10.375 -2
∠ 1 = 91.375°
The measure of the angle 2 is;
∠2 = 7 × 10.75 +16
∠2 = 88.625°
Hence, the measure of the angles are 91.375°and 88.625°.
To learn more about the supplementary angle,refer to the link;
https://brainly.com/question/2882938
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