Question

If two interior opposite angles of a triangle are equal and the external angle is given to be $110°,$then each of the equal interior angles is ____.

Answer 1

Solve for the value of interior angles.

Let the two equal interior opposite angles be $x$.

As we know that the sum of two interior opposite angles of a triangle is equal to its exterior angle,

So,

$$\begin{gathered} x+x=110 \\ \Rightarrow 2x=110 \\ \Rightarrow x=\frac{{110}^{}}{2} \\ \Rightarrow x=55° \end{gathered}$$

Hence, each of the equal interior opposite angles are $55°.$