Question
There are two vertical in a figure m<1=2x-24 and the m <2=86
Answers
GPT 3.5
, where m<1 and m<2 represent the measures of the two vertical angles. Given that vertical angles are congruent, we can set the two expressions equal to each other.
2x - 24 = 86
Solving for x, we get:
2x = 110
x = 55
Therefore, the measure of angle 1 is:
m<1 = 2(55) - 24
m<1 = 110 - 24
m<1 = 86
And the measure of angle 2 is:
m<2 = 86
Since the two vertical angles are congruent, both m<1 and m<2 have a measure of 86 degrees.
2x - 24 = 86
Solving for x, we get:
2x = 110
x = 55
Therefore, the measure of angle 1 is:
m<1 = 2(55) - 24
m<1 = 110 - 24
m<1 = 86
And the measure of angle 2 is:
m<2 = 86
Since the two vertical angles are congruent, both m<1 and m<2 have a measure of 86 degrees.