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 ang

Question

VashaNatasha [74]

4 years ago

14

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 ang

le H?
32 degrees
44 degrees
88 degrees
136 degress

Mathematics

2 answers:

butalik [34] · Answer 1 · 2021-12-20T02:46:15+03:00

Answer:

Option B (44 degrees).

Step-by-step explanation:

In a parallelogram, there are two pairs of equal and parallel lines. Therefore, by the properties of the parallel lines, the opposite angles are also equal. The sum of angles of a parallelogram is 360 degrees. It is given that one angle is (4x + 16) degrees and the other angle is (2x - 16) degrees. Since opposite angles are same, therefore:

4x + 16 + 2x - 16 + 4x + 16 + 2x - 16 = 360

Simplifying gives:

12x = 360.

x = 30.

Since H = (2x-16) degrees, substituting x = 30 degrees in H gives:

H = 2(30) - 16 = 60 - 16 = 44 degrees.

Therefore, Option B is the correct choice!!!