Question

In PQR, sides PQ and PR are equal. If P = 30 , then find the measure of Q.​

Answer 1

Given:

• ∆PQR
• P = 30°
• PQ= PR

since, two sides of a ∆ are equal , It is an issoceles triangle.also,

• Q= R ( opposite angles of equal sudes are equal)

To find:

• Q = ?

Using ASP in ∆PQR,

P+Q+R= 180°

30°+ Q+ Q = 180° ( since, Q= R)

2Q= 180°-30°

2Q=150°

Q= 150°/2

Q=> 75°

Hence, the measure of Q is 75°.

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