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------------------------------------------------ An angle measures 35.8 degrees more than the measure of its supplementary angle. What is the measure of each angle?

Answer :

Final answer:

The measure of the supplementary angle is 72.1 degrees and the measure of the angle in question is 107.9 degrees.

Explanation:

Let x be the measure of the supplementary angle. The angle in question is 35.8 degrees more than x. This can be represented as x + 35.8. Since the sum of supplementary angles is 180 degrees, we can write the equation x + x + 35.8 = 180. Simplifying the equation, we get 2x + 35.8 = 180. Subtracting 35.8 from both sides, we have 2x = 144.2. Dividing both sides by 2, we find x = 72.1. Therefore, the measure of the supplementary angle is 72.1 degrees and the measure of the angle in question is x + 35.8 = 72.1 + 35.8 = 107.9 degrees.

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