Question

In the adjacent figure, m//QR, then the measure of QPR is
P
m
X
50°
45°
Q
R​

Answer 1

Given :-

• In figure , MN is parallel to QR.
• PQ = PR
• ∠LMN = 65°.

To find :-

• The measure of ∠QPR ?

Solution :-

given that, MN || QR,

So,

→ ∠LPN = ∠PQR { corresponding angles .}

→ ∠PQR = 65°

Now, in ∆PQR ,

→ PQ = PR { given. }

So,

→ ∠PQR = ∠PRQ { Angle opposite to equal sides are equal. }

→ ∠PQR = ∠PRQ = 65°

Now, by angle sum Property ,

→ ∠PQR + ∠PRQ + ∠QPR = 180°

→ 65° + 65° + ∠QPR = 180°

→ 130° + ∠QPR = 180°

→ ∠QPR = 180° - 130°

→ ∠QPR = 50° (Ans.)

Hence, The measure of ∠QPR is 50° .

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Answer 2

Answer:

well the answer 50dreeg