Assertion (A):In △PQR , PQ=PR , then ∠Q = ∠R. Reason(R):In a triangle ,if two sides are equal, then the angles opposite to these sides are also equal.
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assertion and reason is both true
Step-by-step explanation:
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Step-by-step explanation:
By using the theorem,If two sides of a triangle are equal then the opposite angles to the sides are equal.
⇒ If PQ=PR then ∠Q=∠R
In △PQR,
⇒∠P+∠Q+∠R=180∘
⇒∠P+∠Q+∠R=180∘ since ∠Q=∠R=65∘(given)
⇒∠P+2×65∘=180∘
⇒∠P=180∘−130∘=50∘
∴∠P=50∘
Equal
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