Question

use an algebraic equation to find the measures of the two angles described below. Begin by letting x represent the degree measure of the angle's complement . the measure of the angle is 76 degrees greater than its complement​

Answer 1

Answer:

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Answer 2

Answer:

Step-by-step explanation:Let x be the measure of the angle's complement in degrees.

Then, the measure of the angle itself can be expressed as (x + 76) degrees, since it is 76 degrees greater than its complement.

Since the angle and its complement are complementary angles, their sum is 90 degrees. So, we can write an equation:

x + (x + 76) = 90

Simplifying the left-hand side of the equation, we get:

2x + 76 = 90

Subtracting 76 from both sides, we get:

2x = 14

Dividing both sides by 2, we get:

x = 7

So the measure of the angle's complement is 7 degrees.

The measure of the angle itself is (x + 76) = (7 + 76) = 83 degrees.