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Luden [163]
3 years ago
13

Solve for x find the measure of angle y (EXPLAIN YOUR ANSWER AND HOW YOU GOT THE ANSWER)

Mathematics
1 answer:
Anastaziya [24]3 years ago
6 0

Answer:

x=16°, y= 120°

Step-by-step explanation:

Information needed

All angles in the diagram will  to 360° equal

The empty angle is (x+8) because of the vertical angles property

Solve for x:

(5x-14)+(x+8)= 90° because it's given that the angle below is a right angle (90°)

(5x-14)+(x+8)= 90°

5x-14+x+8= 90°

5x+x-14+8= 90°

6x-6= 90°

  +6    +6

6x= 96°

/6    /6

x= 16°

Solve for y:

x= 16°

90+(5x-14)+(x+8)+(x+8)

90+66+24+24

= 204°

360°-204°= 120°

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