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AB, CD and EF are straight lines.
AB is parallel to CD.
work out the size of angle y.

AB CD And EF Are Straight Lines AB Is Parallel To CD Work Out The Size Of Angle Y class=

Answer :

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°

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