SOLUTION: The measure of angle 1 is (4x + 5)� and the measure of angle 2 is (2x + 17)�. If angle 1 and angle 2 are vertical angles, what is the measure of angle 1?

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Question 613313: The measure of angle 1 is (4x + 5)� and the measure of angle 2 is (2x + 17)�. If angle 1 and angle 2 are vertical angles, what is the measure of angle 1?
Found 2 solutions by jim_thompson5910, nerdybill:
Answer by jim_thompson5910(35256) (Show Source):
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Angle 1 and angle 2 are vertical angles, so 4x + 5 = 2x + 17

Now solve for x

4x + 5 = 2x + 17

4x-2x = 17-5

2x = 12

x = 12/2

x = 6

Then plug this into the expression for angle 1

Angle 1 = (4x + 5)�

Angle 1 = (4*6 + 5)�

Angle 1 = (24 + 5)�

Angle 1 = 29�

Answer by nerdybill(7384) (Show Source):
You can put this solution on YOUR website!
The measure of angle 1 is (4x + 5)� and the measure of angle 2 is (2x + 17)�. If angle 1 and angle 2 are vertical angles, what is the measure of angle 1?
.
Vertical angles are equal to each other...
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4x+5 = 2x+17
2x+5 = 17
2x = 12
x = 6
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measure of angle 1:
4x+5
4(6)+5
24+5
29 degrees