To find the measures of two vertical angles, we set the two angle expressions equal to each other and solve for x:
5x+23 = 3x+35
Subtract 3x from both sides:
2x+23 = 35
Subtract 23 from both sides:
2x = 12
Divide both sides by 2:
x = 6
Now we can substitute x = 6 into either of the angle expressions to find the measure of each angle. Let's substitute into m∠2:
m∠2 = 5(6) + 23
m∠2 = 30 + 23
m∠2 = 53°
Therefore, the measure of each angle is 53°.
For two vertical angles with measures
and ,
what is the measure of each angle? (1 point)
m∠2 = (5x + 23) ° m∠4 = (3x + 35) °
53°
29°
15.3°
6°
1 answer
1 answer