Triangles and are drawn such that

MATHEMATICS · Single correct · CBSE · Mathematics · Triangles · Triangles

Problem

Triangles

PQR

and

RPS

are drawn such that

PQ = RS = 4\,\text{cm}

,

PR

is common, and

\angle QPR = \angle SRP = 70^{\circ}

. If

QR = 3x - 2\,\text{cm}

and

PS = x + 6\,\text{cm}

, the value of

x

is (a)

2

(b)

8

(c)

4

(d)

6

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