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Luda [366]
3 years ago
13

Find the value of x. Everything is in the photo.

Mathematics
1 answer:
Elan Coil [88]3 years ago
4 0

Answer:

27

Step-by-step explanation:

Note that since VX and XZ are both line segments, <VWX and <XYZ both equal 180 (also known as a straight angle). Also, note that the sum of the angles in a triangle are 180 degrees. Now, let’s start.

Finding angles of the triangle:

<WYX = <XYZ - <WYZ = 180 - 4x

<XWY = <XWV - <VWY = 180 - 6x

Using the sum of angles in a triangle and substituting these values in:

180 = <X + <WYX + <XWY = 90 + (180 - 4x) + (180-6x) = 450 - 10x

270 = 10x

<em>27 = x</em>

We are done! I hope this helps! :)

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