Question

Any help would be appreciated!

Answer 1

See below.

Explanation:

In the figure above, ∠WXY and ∠YXZ are a linear pair.

What is a Linear Pair?

A Linear Pair is 2 angles that are adjacent, and form a straight line when combined. A Linear Pair contains 2 Supplementary Angles, angles that add up to 180°.

Their measures add up to 180°.

In order to find y, because they're a linear pair, we can set up an equation with the 2 angles equal to 180°.

`4y+6y+30=180`

Combine Like Terms:

`10y+30=180`

Subtract 30 from Both Sides:

`10y=150`

Divide by 10:

`(10y)/(10) = (150)/(10) \\y = 15.`

The value of y is 15.

Now since we know the value of y, we can substitute 15 into each angle to find their measure.

Substitute:

`4(15)=60\\6(15)+30=120`

The measure of ∠WXY is 60° and the measure of ∠YXZ is 120°.

Answer 2

this might help you....