Question

Use the diagram to complete the statement.74A 3G B53°45°41U122DF9EmZECDlo

Answer 1

We have the following diagram

From the picture we see that angles y and x are vertical. Hence they have the same measure. Since we want to find the value of x, we should first find the value of y.

Now, to find y, we will use the following fact about triangles

"The sum of all angles of a triangle is 180°"

So, we will apply this fac to the triangle that cointains y.

If we do this, we get the following equation

`53+45+y=180`

by adding 53 and 45 we get the equation

`y+98=180`

now, we subtract 98 on both sides, so we get

`y=180\text{ -98 = 82}`

Then the measure of angle y is 82°.