Question

bellwork

• find the values of x, y, and z.

Explanation:

Step1: Find the value of z

Since the angle adjacent to 30° and z form a straight - line (180°), and a straight - line angle is 180°. So $z = 180^{\circ}-30^{\circ}-90^{\circ}=60^{\circ}$.

Step2: Find the value of y

The angle adjacent to 60° and y are vertical angles. Vertical angles are equal. So $y = 60^{\circ}$.

Step3: Find the value of x

In the triangle, the sum of interior angles of a triangle is 180°. One angle is 60° and another is 90°. So $x=180^{\circ}-60^{\circ}-90^{\circ}=30^{\circ}$.

Answer:

$x = 30^{\circ}$, $y = 60^{\circ}$, $z = 60^{\circ}$