Question

Find the value of x, y and z in the following
parallelogram​

Answer 1

Answer:

∠x = 24°     ∠y = 114°      ∠z = 24°

Step-by-step explanation:

∠y = 114° (opposite sided of a parallelogram are always equal)

∠z =

42° + z + 114° = 180° (adjacent angles are supplementary)

156° + z = 180°

z = 180° - 156°

∠z = 24°

∠x =

42° + ∠y + ∠x = 180° (Sum of the angles of a triangle = 180°; Here ΔABC)

42° + 114° + ∠x = 180°

156° + ∠x = 180°

∠x = 180° - 156°

∠x = 24°

∠x = 24°     ∠y = 114°      ∠z = 24°

Hope it helps you;

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Answer 2

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