Question

In figure given below MN is parallel to QR. PQ=PR and LPN=65°, find the measure of angle QPR​

Answer 1

Step-by-step explanation:

Given:

In the given figure MN || QR

PQ = PR

LPN = 65°

To Find:

∠QPR = ?

Solution:

QR || MN

∠LPN = ∠PQR ..........(Corresponding

∠PQR = 65°

In △PQR,

PQ = QR .........(Given)

∠PQR = ∠PRQ

∠PRQ = 65°

∠PQR + ∠PRQ + ∠QPR = 180° ..........(Sum of all the angles of triangle is 180°)

65° + 65° + ∠QPR = 180°

130° + ∠QPR = 180°

∠QPR = 180° - 130°

∠QPR = 50°

Note: For the figure, refer to the attachment.