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Lostsunrise [7]
3 years ago
7

Use the picture below.

Mathematics
1 answer:
Flauer [41]3 years ago
6 0

Answer:

x = 2.67°

GKJ = 40°

Step-by-step explanation:

Angle HKJ = 6x + 4

Angle HKG = 9x - 4

Segment bisects Angle GKJ, it means that angle HKJ is the same as angle HKG.

You have the measure of both angles in terms of x.

Angle HKJ = Angle HKG

6x + 4 = 9x - 4

4 + 4 = 9x - 6x

8 = 3x

2.67 = x

Angle HKJ:

6(2.67) + 4 = 20°

Angle HKG:

9(2.67) - 4 = 20°

Angle GKJ = HKJ + HKG = 20 + 20 = 40°

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