Question

"Given that ∠ = (−3 + 80) and ∠ = (7 − 70), find the value of both angles if you know they are complementary."

Answer 1

By setting up equations for each angle and assuming they are complementary, Angle A is found to be 77 degrees. Due to a possible typo, Angle B is recalculated to be 13 degrees by subtracting Angle A's measure from 90 degrees, ensuring the two angles are complementary.

Step-by-step explanation:

When two angles are complementary, their measures add up to 90 degrees. Let's first set up the equations for the angles based on their expressions:

• Angle A: A = (-3 + 80)
• Angle B: B = (7 - 70)

Solving these equations, we get:

1. A = 77 degrees
2. B = -63 degrees

However, since angles cannot have a negative measure, there may have been a typo in the expression for Angle B. Assuming the expression should result in a positive angle measurement, we can find the correct value for Angle B by subtracting the measure of Angle A from 90 degrees, because together, they must complement each other to make 90 degrees:

B = 90 degrees - A

B = 90 degrees - 77 degrees

B = 13 degrees

Thus, the two angles measuring 77 degrees and 13 degrees are complementary, summing up to 90 degrees.