Question

find m∠mon.
answer attempt 2 out of 2
m∠mon =

Explanation:

Step1: Identify isosceles - triangle

Since two sides of $\triangle MON$ are equal (indicated by the tick - marks), $\angle M=\angle N = 57^{\circ}$.

Step2: Use angle - sum property of a triangle

The sum of interior angles of a triangle is $180^{\circ}$. Let $\angle MON=x$. Then $x + 57^{\circ}+57^{\circ}=180^{\circ}$.

Step3: Solve for $\angle MON$

$x=180^{\circ}-(57^{\circ}+57^{\circ})=180^{\circ}-114^{\circ}=66^{\circ}$.

Answer:

$66$