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In the figure below, PQT is a straight line and PQ is parallel to SR. Line PQ=QR and angle RQT = 130°. What is the size of angle PRS?

Class: KCPE

Subject: Mathematics

Topic: Geometry

Lesson Summary

In the figure below, PQT is a straight line and PQ is parallel to SR. Line PQ=QR and angle
RQT = 130°. What is the size of angle PRS?
q392132019101.png

A.45°
B.65°
C.55°
D.35°



Text Answer


Angle QPR = angle PQR (base angles; PQ=QR)

Let angle QPR = angle PRQ= X⁰

X + X = 130⁰(exterior angle of triangle PQR)

2x= 130⁰

X = 65⁰

Angle PRS = angle QPR (alternate angles :PQ//SR)

Angle PRS = 65⁰

The correct answer is B (65⁰).

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