By applying the linear pair theorem to the figure, the measure of angle 2 is equal to 43°.
In Mathematics, the linear pair theorem states that the measure of two angles would add up to 180° provided that they both intersect at a point or form a linear pair.
By applying the linear pair theorem to the figure, we can logically deduce the following supplementary angles since line a and line b intersect:
m∠1 + m∠2 = 180°
By substituting the given angles into the equation above, we have;
137° + m∠2 = 180°
m∠2 = 180° - 137°
m∠2 = 43°.
Complete Question:
The m∠1 is 137 degrees. What is the measure of angle 2?