Question

Consider the figure:

If BC = AC, x = 2y, and angle ACB = 60^o, then find the value of $\angle A$ + $\angle B$ + $\angle x$ + $\angle y$ (in degrees).

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Answer 1

$\angle$C = 60^o and BC = AC,
By angle sum property of triangle, $\angle A$ $\angle B={60}^{\circ }$

$\angle A$ +$\angle B$ +$\angle x$ +$\angle y$ = ${60}^{\circ }$ ​+${60}^{\circ }$ ​+${120}^{\circ }$​ = ${240}^{\circ }$​

Since, $\angle x$ +$\angle y$ = $\angle A$ +$\angle B$