Question

The measure of Zg.is six more than twice the measure of Zg if g and h are complementary angles then find m and angle h

a. 42°
b. 45°
c. 48°
d. 51°

Answer 1

The measure of angle h is found to be 28 degrees when angle g is its complementary angle, with angle g's measure being six more than twice angle h. Multiple-choice options provided do not match this correct result, indicating a potential error in the provided options.

Step-by-step explanation:

The original question seems to contain a typographical error. It should read, 'The measure of angle g is six more than twice the measure of angle h. If g and h are complementary angles then find the measure of angle h.' When two angles are complementary, their measures add up to 90 degrees. Let's define the measure of angle h as x. Therefore, the measure of angle g would be 2x + 6. Since they are complementary:

• x + (2x + 6) = 90
• 3x + 6 = 90
• 3x = 84
• x = 28

Thus, the measure of angle h is 28 degrees, and the measure of angle g is 62 degrees (2*28+6). However, none of the multiple-choice options in the question (42°, 45°, 48°, 51°) match this result, indicating there may be a miscommunication or further error in the question as presented.