Question

In the adjacent triangle ABC, find the value of x and calculate the measure of all the angles of the triangle.

Answer 1

Using theorem, Sum of interior angles of a triangle is ${180}^o$ .

We get $\angle A+\angle B+\angle C={180}^o$

$\Rightarrow x+15+x-15+x+30={180}^o$

$\Rightarrow 3x+30={180}^o$

$\Rightarrow 3x={150}^o$

$\Rightarrow x={50}^o$

$\therefore$ Angles are $\angle A={65}^o,\angle B={35}^o,\angle C={80}^o$