Question

In D PQR, if PQ = PR and ∠Q = 70º, then ∠R is equal to
i) 40º ii) 70º iii) 120º iv) 50º

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Answer 1

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Answer 2

Answer:

In ∆PQR,

∠P + ∠Q + ∠R = 180∘ (Angle sum property)

⇒ 70∘ + 65∘ + ∠R = 180∘

⇒ 135∘ + ∠R = 180∘

⇒ ∠R = 180∘ − 135∘

= 45∘

Hence, the measure of ∠R is 45∘.

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