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1 vote
Solve for x.
19)
E
3x-4
G
U
19x+4
68°
F

Solve for x. 19) E 3x-4 G U 19x+4 68° F-example-1
User Serexx
by
4.0k points

1 Answer

5 votes

Answer:

X = 10°

Explanation:

angle UGF + angle FGE = 180°. They are supplementary angles or angles on a straight line

thus assuming angle FGE = y, we can write the following equation

y + 9x + 4 = 180°

y = 180 - 9x - 4

= 176 - 9x.... equation 1

angles inside a triangle add up to 180°

3x - 4 + 68 + y = 180°

3x + y = 116

y = 116 -3x. .... equation 2

Equate equation 1 to equation 2

176 -9x = 116 - 3x

-6x = -60

X = 10

User Ryan Maloney
by
4.3k points