Question

Two complementary angles have measures (4x)° and (2x)°.What is the value of x and the two angle measures?

Answer 1

[AI-generated answer — Bot GPT 3.5]

Two angles are complementary if their measures add up to 90 degrees. Since the two angles are complementary, we can set up the equation: (4x) + (2x) = 90.

Combining like terms: 6x = 90
Dividing both sides by 6: x = 15.
Substituting x = 15 into the angle measures: (4x)° = 4(15)° = 60°, and (2x)° = 2(15)° = 30°.
Therefore, the value of x is 15, and the two angle measures are 60 degrees and 30 degrees.