In the following figure, m || QR. Then, the measure of ∠QPR is
Answers
Given : In figure given below MN is parallel to QR. PQ=PR and LMN=65°,
To find : the measure of angle QPR
Solution :
QR ║ MN
=> ∠LPN = ∠PQR corresponding angles
=> ∠PQR = 65°
in Δ PQR
PQ = PR
=> ∠PQR = ∠PRQ Equal angles opposite to Equal sides
=> ∠PRQ = 65°
in Δ PQR
∠PQR + ∠PRQ + ∠QPR = 180° Sum of angles of triangle
=> 65° + 65° + ∠QPR = 180°
=> ∠QPR = 50°
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Answer:
Given : In figure given below MN is parallel to QR. PQ=PR and LMN=65°,
To find : the measure of angle QPR
Solution :
QR ║ MN
=> ∠LPN = ∠PQR corresponding angles
=> ∠PQR = 65°
in Δ PQR
PQ = PR
=> ∠PQR = ∠PRQ Equal angles opposite to Equal sides
=> ∠PRQ = 65°
in Δ PQR
∠PQR + ∠PRQ + ∠QPR = 180° Sum of angles of triangle
=> 65° + 65° + ∠QPR = 180°
=> ∠QPR = 50°