To find the measure of angle 2, we can use the property of vertical angles which states that vertical angles are congruent (i.e., they have the same measure).
Given that angle 1 measures 106 degrees, we can set up the equation:
106 = 3x - 75
To solve for x, we isolate the variable:
3x = 106 + 75
3x = 181
x = 181/3
x = 60.33
Substituting this value back into the equation for angle 2:
m<2 = 3(60.33) - 75
m<2 = 181 - 75
m<2 = 106
Therefore, the measure of angle 2 is also 106 degrees.
there is a pair of vertical angles whose measures are m<1=106 and m<2=(3x-75)
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