Question

find the values of x and y.

x =

y =

Explanation:

Step1: Find the value of \( y \)

Use the property that an exterior angle and its adjacent interior angle are supplementary.
\( y + 122=180 \)
\( y=180 - 122 \)
\( y = 58 \)

Step2: Find the value of \( x \)

Since the triangle is isosceles (two sides are equal), the base angles are equal.
The sum of angles in a triangle is \( 180^{\circ} \).
\( x+2y=180 \)
Substitute \( y = 58 \) into the equation:
\( x+2\times58=180 \)
\( x+116=180 \)
\( x=180 - 116 \)
\( x = 64 \)

Answer:

\( x = 64 \)
\( y = 58 \)