Question

In the give triangle,find the measure of ∠PRQ.
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Answer 1

Answer:

180-140=40 answer this answer is right then you give me more points lkkkk

Answer 2

Answer:

50°

Step-by-step explanation:

There are two ways to solve this

First way:

We know that exterior angle is the sum of opposite interior angles

i.e

∠RPQ+∠PRQ=140°

or 90°+∠PRQ=140°

or ∠PRQ=140°-90°

therefore ∠PRQ= 50°

Second way:

140° and ∠PQR are on straight line

i.e they form linear pair

therefore ∠PQR=180°-140°

∠PQR=40°

Now, in ∆PQR

∠PQR+∠PRQ+∠RPQ=180° ............[ANGLE SUM PROPERTY OF TRIANGLE]

or 40°+∠PRQ+90°=180°

or ∠PRQ=180°-40°-90°

or ∠PRQ=50°

Hope this is helpful