For two vertical angle with a measures <1(2x+26) and <3=(3x+32) what is the measure of each angle
From the given information, we know that angle 1 ( <1) and angle 3 ( <3) are vertical angles.
Vertical angles are congruent, meaning they have the same measure.
Therefore, we can set the two expressions for the measures of angle 1 and angle 3 equal to each other and solve for x.
(2x+26) = (3x+32)
Subtract 2x from both sides:
26 = x + 32
Subtract 32 from both sides:
-6 = x
Now that we have found the value of x, we can substitute it back into one of the original expressions to find the measure of the angles.
<1 = (2x+26)
<1 = 2(-6) + 26
<1 = -12 + 26
<1 = 14
Therefore, each angle measures 14 degrees.