Question

110°
х
z
у
Find the unknown angle measures

Answer 1

x = z = 70°

y = 110°

Explanation:

From the diagram, we have 4 angles;

To find y;

110° and y are vertically opposite angles so they are equal.

So, y = 110°

Also, y and x lie on a straight line. Sum of angles on a straight line is 180°;

y + x = 180

110 + x = 180

x = 180-110 = 70°

Also, x and z are vertically opposite angles and they are equal;

x = z = 70°

y = 110°