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find the measure of angle a * a b c 70° 40 70 110

Question

find the measure of angle a * a b c 70° 40 70 110

Explanation:

Step1: Identify triangle type

The marks on sides indicate it's an isosceles triangle, so $\angle B=\angle C = 70^{\circ}$.

Step2: Use angle - sum property

The sum of angles in a triangle is $180^{\circ}$. Let $\angle A=x$. Then $x + 70^{\circ}+70^{\circ}=180^{\circ}$.

Step3: Solve for $\angle A$

$x=180^{\circ}-(70^{\circ}+70^{\circ})=40^{\circ}$.

Answer:

$40$