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Mnenie [13.5K]
3 years ago
8

Solve for x. Find the missing angels. Show work!!!

Mathematics
1 answer:
Greeley [361]3 years ago
6 0

Answer:

10° = x; Angle C = 58°; Angle D = 61°; Angle B = 119°

Step-by-step explanation:

Because of the exterior angle theorem, (1+6x)° + 58° = (11x+9)°

Subtract (6x+1)° from both sides and you get: 58° = 5x+8

Subtract 8 from both sides:

50° = 5x –– Divide both sides by 5 to get x alone

10° = x

Angle C is already listed as 58°

Angle D:

1 + 6(10)

1+60

61°

*Note: I'm assuming Angle B is the angle with the x and not the remaining interior angle*

Angle B:

11(10)+9

110+9

119°

(But just in case)

Remaining Interior Angle = 61°

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