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Find x and y. Give reasons to justify your solution. Pleaseee help

Find x and y. Give reasons to justify your solution. Pleaseee help-example-1
User DustBunny
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6 votes

Answers:

x = 40 and y = 40

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

Step-by-step explanation:

The three angles involving x add up to 180 since they form a straight line or straight angle.

3x+0.5x+x = 180

4.5x = 180

x = 180/(4.5)

x = 40

Then note how the 0.5x and 0.5y angles are vertical angle pairs. Vertical angles form when we have two lines cross to form an X shape, and vertical angles are always opposite one another. Also, vertical angles are always the same measure.

0.5x = 0.5y

x = y

40 = y

y = 40

In the second step, I multiplied both sides by 2. Then I plugged in x = 40 we found earlier.

User Mobiusklein
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