What is the measure of ∠XYZ

Mathematics

2 answers:

Fudgin [204]3 years ago

5 0

Answer: The measure of ∠XYZ = 66°.

Step-by-step explanation:

Since we have given that

∠W+∠X=∠XYZ (Sum of opposite interior angle is equal to exterior angle)

$2x+12+2x+14=5x+16\\\\4x+26=5x+16\\\\26-16=5x-4x\\\\x=10^\circ$

So, it becomes,

$\angle XYZ=5x+16\\\\\angle XYZ=5\times 10+16\\\\\angle XYZ=50+16\\\\\angle XYZ=66^\circ$

Hence, the measure of ∠XYZ = 66°.

dangina [55]3 years ago

4 0

5x+16= 2x+12+2x+14
Combine like terms
5x+16 = 4x+26
-4x -16 = -4x -16
1x =10
Divide by 1
X =10
Plug 10 in for x and solve to get answers!

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