Question

From the figure given below, find the value x. Х + 130° 35 Y A Z W​

Answer 1

Answer:

x = 15°

Step-by-step explanation:

∠XZA + 130° = 180° (Linear Pair)

Therefore,

∠XZA = 180-130 = 50°

∠XZA = ∠XAZ = 50° (Angles opposite to equal sides of a triangle are equal)

∠XAZ + ∠XAY = 180° (Linear Pair)

∠XAY = 180 - 50 = 130°

∠XYA + ∠XAY + ∠AXY = 180° (Angle sum property of a triangle)

35 + 130 + x = 180

165 + x = 180

x = 180 - 165 = 15°