To find the measure of angle H, we need to set up an equation using the fact that opposite angles in a parallelogram are congruent.
Since angle G and angle H are opposite angles in the parallelogram, we can set up the following equation:
(4x + 16)° = (2x - 16)°
Solving for x:
4x + 16 = 2x - 16
2x = -32
x = -16
Now that we have found the value of x, we can substitute it back into the expression for the measure of angle H:
(2x - 16)°
= 2(-16) - 16
= -32 - 16
= -48
Therefore, the measure of angle H is 32°.
So, the correct answer is:
32°
In parallelogram EFGH, the measure of angle G is (4x + 16)° and the measure of angle H is (2x − 16)°. What is the measure of angle H?
32°
44°
88°
136°
1 answer