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Musya8 [376]
3 years ago
9

If m ABC = 118°, solve for x.

Mathematics
1 answer:
ziro4ka [17]3 years ago
6 0

Given:

m∠ABC = 118°

m∠DAC = (9x - 33)°

m∠CAB = (2x + 7)°

To find:

The value of x.

Solution:

Sum of the adjacent angles in a parallelogram = 180°

m∠ABC + m∠CAB + m∠DAC = 180°

118° + 9x° - 33° + 2x° + 7° = 180°

92° + 11x° = 180°

Subtract 92° from both sides.

92° + 11x° - 92° = 180° - 92°

11x° = 88°

Divide by 11° on both sides.

x = 8

The value of x is 8.

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