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.
