In , . Point is taken on such that…

MATHEMATICS · Multi-part · GCSE · Mathematics · Geometry and Measures · Geometry and Measures

Problem

\triangle PQR

PQ = PR

. Point

S

is taken on

QR

such that

PS \perp QR

. (i) Prove that

QS = SR

. (ii) Prove that

PS

bisects

\angle QPR

. (iii) If

\angle QPR = 64^{\circ}

, find

\angle QPS