84.6k views
5 votes
Solve for x.
please help me

Solve for x. please help me-example-1

2 Answers

5 votes

Answer:

x = 7

Explanation:

∠HFG must equal to 180° - ∠YFG. Because there are 180° in a triangle, we can subtract the known value, 65°, and be left with 115°.

From there, an equation can be formed.

115° = 6x + 8 + 180 - (3+16x)

115°= 6x + 188 - 3 - 16x

115°= 185 - 10x

-70° = -10x

x = 7

User Amartynov
by
7.0k points
0 votes

Answer:

Your answer is x = 7.

Explanation:

<HFG + <YFG = 180°

180° - <HFG = <YFG

<H + <G + <HFG = 180°

<H + <G = 180° - <HFG

<H + <G = <YFG

(6x + 8) + (65°) = (3+16x)

6x + 8 + 65 = 16x + 3

Get x on one side and the other numbers on the other side.

8 + 65 - 3 = 16x - 6x

70 = 10x

x = 7

You can plug in x into the angle to solve for their angles.

User Kurt Stutsman
by
6.6k points