Question

Find the measure of Angle X. x = 150˚ x = 120˚ x = 145˚ x = 90˚

Answer 1

Explanation:

see the attached figure to better understand the problem

step 1

Find the measure of angle y

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

so

In the bottom triangle of the figure

solve for y

step 2

we know that

----> by vertical angles

we have

therefore

Explanation:

Answer 2

`m\angle x=120^o`

Explanation:

see the attached figure to better understand the problem

step 1

Find the measure of angle y

we know that

The sum of the interior angles in any triangle must be equal to 180 degrees

so

In the bottom triangle of the figure

`30^o+30^o+m\angle y=180^o`

solve for y

`60^o+m\angle y=180^o`

`m\angle y=180^o-60^o`

`m\angle y=120^o`

step 2

we know that

`m\angle x=m\angle y` ----> by vertical angles

we have

`m\angle y=120^o`

therefore

`m\angle x=120^o`