Question

Find the angles x and y in the given isoscelles triangle ABC in which AB = AC given:​

Answer 1

☯Answer:

Both Angle x and y are of 60°

Explanation:

In ∆ABC

$\sf \angle \: ABC = \angle \: ACB \\ \\ \sf\angle \: ACB + 120 \degree = 180 \degree \\ \sf \because \: both \: angles \: are \: making \: linear \: pair \\ \\ \sf \angle \: ACB = 60 \degree$

$\sf \angle \: ACB = \angle \: ABC = 60 \degree \\ \sf \because \: it \: is \: an \: isosceles \: \triangle$

So y=60°

In triangle ABC by applying angle sum property

X+Y+60°=180°

X+60°+60°=180°

X=60°

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