Question

3 categorization 2 points x = no answers chosen y = no answers chosen possible answers 180 118 62 73 82 47 90 121 59

Explanation:

Step1: Find the value of \(x\)

The angle of \(121^{\circ}\) and the adjacent angle form a linear - pair. The adjacent angle is \(180 - 121=59^{\circ}\).
Since the triangle is isosceles (two sides are equal), \(x = 180-2\times59\).

$$x = 180 - 118=62$$

Step2: Find the value of \(y\)

\(y\) is equal to \(x\) (alternate - interior angles for parallel lines). So \(y = 62\)

Answer:

\(X = 62\), \(Y = 62\)