Question

For two vertical angles with measures m/1 = (2x + 26) * and mL3 = (3x + 32) * , what is.the
measure of each angle? (1 point)

Answer 1

To find the measures of each angle, we can set the two expressions equal to each other:

(2x + 26) = (3x + 32)

Now, solve for x:

2x + 26 = 3x + 32
26 - 32 = 3x - 2x
-6 = x

Now that we have found the value of x, we can substitute it back into the expressions to find the measures of each angle:

m∠1 = (2(-6) + 26) = (12 + 26) = 38 degrees
m∠3 = (3(-6) + 32) = (-18 + 32) = 14 degrees

Therefore, the measure of angle 1 is 38 degrees and the measure of angle 3 is 14 degrees.