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If EFGH is a parallelogram, what is the value of x?
F
(4x-2)
34
G
E
H
A. 34
OB. 30.5
OC. 36
D. 82
OE. 37
OF. 9


If EFGH Is A Parallelogram What Is The Value Of X F 4x2 34 G E H A 34 OB 305 OC 36 D 82 OE 37 OF 9 class=

Sagot :

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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