Question

I NEED HELP ASAP!! Question is in the photo

Answer 1

Answers:

• Angle X = 142 degrees
• Angle Y = 142 degrees

Both angles are the same measure

===========================================================

Explanation:

We have a 5 sided polygon, so this is a pentagon.

For any pentagon, the five interior angles always add to 180(n-2) = 180(5-2) = 540 degrees. The formula 180(n-2) tells us the sum of the interior angles for any polygon with n sides.

The diagram shows the following angle values

• V = 119
• W = 47
• X = m
• Y = m
• Z = 90 (due to the square angle marker)

Both angles X and Y are equal to the same unknown value m. They are both the same measure because they both have the same arc marking.

Adding up those five angles should get us 540 as mentioned earlier

V+W+X+Y+Z = 540

119+47+m+m+90 = 540

-------

Let's solve for m

119+47+m+m+90 = 540

2m+256 = 540

2m = 540-256

2m = 284

m = 284/2

m = 142

Angle X has the measure of 142 degrees, and so does angle Y.

Answer 2

Answer:

y/x = 142

Step-by-step explanation:

y = x

Z = 90

Since y and x is equal I will make them 2x

Pentagon = 540 degrees

540 = 2x + 90 + 47 + 119 (Clean up)

540 - 256 = 2x

284 = 2x (dvide by 2)

x/y = 142

Checking

540 = 2x + 90 + 47 + 119

540 = 2(142) + 256

540 = 284 + 256

540 = 540