Question

ZG and ZH are complementary angles.

The measure of ZG = 4x, and the measure of ZH = 5x. Showing algebraic support, find mZG.

A) 20 degrees
B) 30 degrees
C) 40 degrees
D) 50 degrees

Answer 1

Complementary angles are two angles that add up to 90 degrees. Given that ZG and ZH are complementary angles, and the measures of ZG and ZH are 4x and 5x respectively, we can solve for the value of mZG using algebraic equations. The final answer is mZG = 40 degrees.

Step-by-step explanation:

Complementary angles are two angles that add up to 90 degrees. In this case, ZG and ZH are complementary angles, so their measures should add up to 90 degrees.

The measure of ZG is given as 4x, and the measure of ZH is given as 5x.

So, we can set up an equation: 4x + 5x = 90 degrees.

Combining like terms, we get 9x = 90 degrees.

Dividing both sides by 9, we find that x = 10 degrees.

Substituting x back into the equation, we find that ZG = 4x = 4 * 10 = 40 degrees.

Therefore, mZG = 40 degrees.