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44 votes
44 votes
Find the value of each variable

Find the value of each variable-example-1

2 Answers

17 votes
17 votes

Answer:

y=9

Explanation:

16y and 18y-18 are vertical angles. The definition of Vertical Angles states that both of the measures of the angles are equal to each other. Therefore,

18y-18=16y

2y-18=0

2y=18

y=9

User Weijen
by
3.6k points
24 votes
24 votes
Answer is y= 9

Step by step

Your equation, since they are vertical angles they are congruent, or equal

18y - 18 = 16y

Subtract 18y from both sides to combine variables

18y - 18y - 18 = 16y - 18y

-18 = -2y

Divide both sides by -2 to solve for y

-18/-2 = -2/-2 y

9 = y

Check your work

So angle 18y - 18
Substitute 9 for y
18(9) - 18
162 - 18 = 144

The other angle is
16y
16(9) = 144

Since the angles are vertical angles, they are congruent, so their angles will be the same
and they are, they are both 144 degrees.
User Daniel Samson
by
2.8k points
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