Using the image below, identify the angles that are vertical angles, list the angles that are linear pairs, and then solve for , , and .

Vertically opposite angles are

Linear pair of angles are

,

Step-by-step explanation:

Given: image

To find: vertical angles, the angles that form linear pairs, value of x, y and z

Solution:

If two lines intersect each other then the vertically angles formed are equal.

Two adjacent angles are said to be linear if their sum is .

From the given image,

vertically opposite angles are

Linear pair of angles are

As vertically opposite angles are equal,

As sum of angles that form a linear pair is ,

Also, as x and z are vertically opposite angles,

15.5

step-by-step explanation:

5

∑

n = 1

substitute n = 1, 2, 3, 4, 5 and sum the terms

= + + + 2² + 2³

= 0.5 + 1 + 2 + 4 + 8

= 15.5

how is that middle school

step-by-step explanation: