For two verticals angles with measures m<1=(4x+26) degrees and m<3=(3x+32) degrees , what is the measure of each angle

Answer 1

Vertical angles are formed by two intersecting lines and are congruent to each other. Therefore, m<1 = m<3.

So, we can set up the equation:

4x + 26 = 3x + 32

Simplifying the equation, we get:

x + 26 = 32

Subtracting 26 from both sides, we get:

x = 6

Now, we can substitute x back into either of the original expressions to find the measure of each angle. Let's use m<1:

m<1 = 4x + 26

m<1 = 4(6) + 26

m<1 = 24 + 26

m<1 = 50 degrees

Therefore, each angle measures 50 degrees.