Question

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

Vertical angles are a pair of non-adjacent angles formed when two lines intersect. The measure of each angle in a pair of vertical angles is equal.

Given that m1 = (2x + 26)° and m3 = (3x + 32)°, we can set up an equation:

2x + 26 = 3x + 32

Subtract 2x from both sides of the equation:

26 = x + 32

Now, subtract 32 from both sides:

-6 = x

Therefore, x = -6.

To find the measure of each angle, substitute the value of x back into the expressions:

m1 = (2x + 26)° = (2(-6) + 26)° = 14°

m3 = (3x + 32)° = (3(-6) + 32)° = 14°

Therefore, the measure of each angle is 14°.