219k views
4 votes
NEED HELP QUCKILY PLZ HURRY

NEED HELP QUCKILY PLZ HURRY-example-1
User Joealba
by
7.7k points

2 Answers

7 votes

Answer:

The correct option is (C) 21.33

Explanation:

As we can see in the figure that total angle is FGH and it equals 136.

Angle FGK is a part of it and it equals 6w + 8

So solving the equation will give us the value of unknown

6w+8 = 136

6w = 136 - 8

6w = 128

w = 128/6

w = 21.33

User Bynd
by
9.1k points
4 votes

Answer:

The answer is w = 10

Explanation:

∵ GK bisects ∠FGH

∴ m∠FGK = m∠HGK

∵ m∠FGK = 6w + 8

∴ m∠FGH = 2(6w + 8) = 12w + 16

∵ m∠FGH = 136°

∴ 12w + 16 = 136

∴ 12w = 136 - 16 = 120

∴ w = 120 ÷ 12 = 10

User DrRobertz
by
8.0k points

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