Question

In parallelogram EFGH, the measure of angle E is 60 degrees. What is the value of angle H?

a) 30 degrees
b) 60 degrees
c) 120 degrees
d) 180 degrees

Answer 1

In a parallelogram, the opposite angles are congruent. Therefore, the value of angle H in parallelogram EFGH is 60 degrees.

Step-by-step explanation:

In a parallelogram, opposite angles are congruent. Since angle E is 60 degrees, angle G, which is opposite to angle E, is also 60 degrees. Therefore, the value of angle H can be found by subtracting the sum of angles E and G (60 + 60) from 180 degrees (the total sum of angles in a parallelogram).

180 - (60 + 60) = 180 - 120 = 60 degrees

So, the value of angle H in parallelogram EFGH is 60 degrees.