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2. Quadrilateral PQRS is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. Show all your work.

ASAP HELP 2 Quadrilateral PQRS Is Inscribed In A Circle Find The Measure Of Each Of The Angles Of The Quadrilateral Show All Your Work class=

Sagot :

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

#SPJ1

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