Find the value of x, y and z in the followingparallelogram

1.	Find the value of x, y and z in the followingparallelogram
Answer» 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; Mark as the Brainliest

Answer»

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;

Mark as the Brainliest

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