Question

In the given Figure, Find angle XYZ.

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Answer 1

Answer:

y = 140°

Step-by-step explanation:

angle yxw = angle yzw = 90°

y+90+90+40 = 360°

y+220 = 360°

y = 140°

Answer 2

Answer:

140°

Step-by-step explanation:

Given,

∠XWZ = 40°

∠WXY = ∠WZY = 90°

To find : ∠XYZ = ?

Sum of interior angles of a 4 sided quadrilateral is 360°,

∠XYZ + ∠XWZ + ∠XYW + ∠WZY = 180°

∠XYZ + 40° + 90° + 90° = 360°

∠XYZ + 220° = 360°

∠XYZ = ( 360 - 220 )°

∠XYZ = 140°

( or )

Another method : -

Sum Opposite angles is Supplementary,

∠XYZ + XWZ = 180°

∠XYZ + 40° = 180°

∠XYZ = ( 180 - 40 )°

∠XYZ = 140°