Applying the linear pair theorem, the measure of angle A is determined as 138 degrees.
What is the Linear Pair Theorem?
- The linear pair theorem states that if two angles lie on a straight line, they form a linear pair.
- The two angles in a linear pair add up to give the sum of 180°, this means the angles are supplementary.
Thus, the diagram attached below shows the building and the measures given.
m∠A = 180 - 42
m∠A = 138°
In summary, applying the linear pair theorem, the measure of angle A is determined as 138 degrees.
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