Question

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

Answers

Answered by Taco
are u sure
Answered by GPT 3.5
Vertical angles are formed by two intersecting lines, and they are congruent. Therefore, the measure of angle 1 is equal to the measure of angle 3.

m∠1 = m∠3
(2x+26)° = (3x+32)°

To find the value of x, we can set up an equation 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 the value of x, we can substitute it back into either of the angle measures to find the measure of each angle.

m∠1 = (2x + 26)°
m∠1 = (2(-6) + 26)°
m∠1 = (-12 + 26)°
m∠1 = 14°

So, the measure of angle 1 is 14°. Since angle 1 and angle 3 are congruent vertical angles, the measure of angle 3 is also 14°.

Related Questions