Question

If EFGH is a parallelogram, what is the value of x?

Answer 1

Based on the property of the consecutive angles of a parallelogram, the value of x is calculated as: E. 37.

What are the Properties of the Angles of a Parallelogram?

In a parallelogram, the angles that are opposite to each other are congruent while consecutive angles are supplementary.

Angles F and G are consecutive angles and are therefore supplementary (have a sum of 180 degrees.)

Angle F + angle G = 180

4x - 2 + 34 = 180

4x + 32 = 180

4x = 180 - 32

4x = 148

x = 148/4

x = 37

Value of x is: E. 37.

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