(i) In a triangle ABC,Angle A = angle B = 55°. Name the pair of sides which are equal .
(ii) In triangle PQR , Angle P = angle R . Name the pair of sides which are equal.
(iii) If AB = BC in a triangle ABC, Name the angle ehich are equal.
(iv) If BC = AC in a Triangle ABC, name the triangle which are equal.
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Answer:
In ΔPQR,
∠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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