Question

In the figure, PQ = XY. PR = XI and QR = YZ. Find
the value of o and a respectively.​

Answer 1

PQ = XY

so, <PRQ = <XZY = 40°

PR = XZ

so, <PQR = <XYZ = 35°

QR = YZ

so, <QPR = <YXZ. = x° ( not given )

now,

p-20° = 35°

so, p = 55°

x° = [180° - (35°+40°)]

= (180° - 75°)

so, x° = 105°

or, q-10° = 105°

so, q = 115°

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