In the figure angle=60° AB=AC=7.2cm then what is the measure of angle B
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Step-by-step explanation:
Given: ∠A=60°
and AB=AC=7.2 cm
Now since AB=AC⇒∠ABC=∠ACB (angles opposite to equal sides are equal)
Consider △ABC
By angle sum property of △
∠ABC+∠ACB+∠BAC=180°
⇒∠ABC+∠ABC+60°=180° (given ∠BAC=60°)
⇒2∠ABC=120°
⇒∠ABC=60°
So,∠ABC=∠ACB=∠BAC =60°
Since all the angles of △ are 60° each.So triangle is Equilateral
⇒All the sides of △will also be equal
⇒AB=AC=BC=7.2 cm
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