Final answer:
The Angle Addition Postulate states that the measure of the sum of two angles is equal to the sum of their individual measures. To find the angle measures in this case, set up an equation and solve for x, then substitute the value of x back into the expressions for the angles.
Step-by-step explanation:
The theorem or postulate related to the measures of the angles in each pair is the Angle Addition Postulate. According to this postulate, the measure of the sum of two angles is equal to the sum of their individual measures. In this case, the measure of angle 1 can be represented as 7x + 15° and the measure of angle 2 can be represented as 10x - 9°. To find the angle measures, we need to set up an equation using the Angle Addition Postulate:
(7x + 15°) + (10x - 9°) = 180°
Simplify the equation and solve for x to find the value of x. Then substitute the value of x back into the expressions for the angle measures to find the actual measurements.
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