Question

If one angle of a triangle is equal to the sum of other two, then the measure of that angle is ________.

Answer 1

Solve for the measure of the angle:

Given:$a=b+c$

$a+b+c=180°$ (angle sum of a triangle)

Since $a=b+c$

therefore $a+a=180°$

$$\begin{gathered} \Rightarrow 2a=180° \\ \Rightarrow a=90° \end{gathered}$$

Hence, the measure of the angle is $90°$.