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3 years ago

Find the m ∠YXZ. Show your Work

Mathematics

1 answer:

Charra [1.4K]3 years ago

6 0

Answer:

∠YXZ = 62°

Step-by-step explanation:

A straight line measures 180 degrees

The angle "8x - 14" PLUS its adjacent angle Z sum up to 180, so we can write:

Z + 8x - 14 = 180

Z = 180 +14 - 8x

Z = 194 - 8x

Sum of 3 angles of a triangle is 180 degrees, thus we can write:

X + Y + Z = 180

3x + 5 + 4x + 194 - 8x = 180

Now, we solve for x:

$3x + 5 + 4x + 194 - 8x = 180\\-x+199=180\\x = 199-180\\x=19$

The measure of ∠YXZ is "3x + 5", we substitute the value of x and find this angle to be:

3x + 5

3(19) + 5

Thus,

∠YXZ = 62°

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