The measure of each of the angles ∠P,∠Q,∠R, ∠S are 45°,72°,135° and 98° respectively.
What is quadrilateral ?
A quadrilateral is a polygon having four sides. The measure of the opposite angle of quadrilateral inside circle is 180°.
From the figure:
∠P=x+15
∠Q=3x-8
∠R=?
∠S=3x+8
∠Q+∠S=180
3x-8+3x+8=180
6x=180
x=30°
∠P+∠R=180°
x+15+∠R=180
30+15+∠R=180
∠R=180-45
∠R=135°
∠P=30+15=45
∠Q=3x-8=3(30)-8=72
=135
∠S=3x+8=3(30)+8=98
Hence,the measure of each of the angles ∠P,∠Q,∠R, ∠S are 45°
,72°,135° and 98°.
To learn more about the quadrilateral refer:
https://brainly.com/question/13805601
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