Which equation can be used to calculate the area of the shaded triangle in the figure below?
1 answer:
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Answer:
y = 108°
Step-by-step explanation:
Since, line AB is parallel to line CD,
By the definition of corresponding angles,
m∠FPB = m∠FQD
(2x + 16)° = (3x - 12)°
3x - 2x = 16 + 12
x = 28
(3x - 12) = 3(28) - 12
= 72°
m∠FQD + m∠EQD = 180° [Linear pair of angles]
72° + y = 180°
y = 180 - 72
y = 108°
