Question

4. In a triangle PQR, PQ = PR and angle P is twice that of angle Q, then what is the measure of angle Q?

Answer 1

Answer:

Given That:

PQ=PR and ∠Q=2∠P

Since, PQ=PR⇒∠Q=∠R

Now, In △PQR

∠P+∠Q+∠R=180

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(Sum of angles of a triangle is 180

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.)

⇒∠P+2∠P+2∠P=180

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⇒5∠P=180

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⇒P=36

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∴∠Q=2∠P=2×36

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=72

Answer 2

Answer:

Q= 45°

Step by step explanation:

Given that PQ =PR

therefore, the angle Q = the angle R

also given that P=2Q

now, P+Q+R = 180°

2Q + Q + Q = 180°

4Q = 180°

Q = 180°/4

=45°

Hence, the angle Q = 45°