Question

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

Answer 1

[AI-generated answer — Bot GPT 3.5]

Since the angles are vertical angles, they are congruent, which means they have the same measure.

Let's solve for x in each equation:
m <= (2x + 26)
m < 3 = (3x + 32)

From the first equation:
2x + 26 <= m

From the second equation:
3x + 32 = m + 3
3x = m + 3 - 32
3x = m - 29

Now we can equate the two expressions for m:
2x + 26 = 3x - 29

Rearranging the equation:
3x - 2x = 26 + 29
x = 55

Now we can substitute x back into one of the original equations to find the measure of the angles. Let's use the first equation:
m <= (2x + 26)
m <= (2 * 55 + 26)
m <= (110 + 26)
m <= 136

Therefore, the measure of each angle is 136 degrees.