Question

triangle mno is an isosceles triangle in which one angle measures 122.6 degrees what is the angle measure of one of the two congruent angles

Answer 1

Given isosceles triangle

There are two congruent angles

let one of them = x

so,

The angles of the triangle = x , x and 122.6

The sum of the interior angles of the triangle = 180

So,

$\begin{gathered} x+x+122.6=180 \\ 2x=180-122.6 \\ 2x=57.4 \\ x=\frac{57.4}{2} \\ \\ x=28.7 \end{gathered}$

So, the measure of one of the two congruent angles = 28.7