Question

what is the value of y?
g
f 118°
h
y =
submit

Explanation:

Step1: Use the property of isosceles triangle

In the given triangle \(FGH\), since two sides are equal (marked with red - lines), it is an isosceles triangle. The sum of interior angles of a triangle is \(180^{\circ}\). Let the measure of \(\angle H=y\) and \(\angle F = 118^{\circ}\).

Step2: Calculate the value of \(y\)

We know that \(y=\frac{180 - 118}{2}\) (because in an isosceles triangle, the two non - vertex angles are equal and sum of angles in a triangle is \(180^{\circ}\)).

$$y=\frac{180 - 118}{2}=\frac{62}{2}=31$$

Answer:

\(31\)