Question

In the diagram, m ZXYZ = 115° and mZWXY = 45°
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Answer 1

m∠XWY = 70°

Step-by-step explanation:

Two opposite interior angle sum up to one exterior angle on a straight line.

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? + 45° = 115°

? = 115° - 45°

? = 70°

Answer 2

The value of angle XWY = 70°

Step-by-step explanation:

=> angle XYZ + angle XYW = 180° { linear pair }

=> angle XYW + 115° = 180°

=> angle XYW = 180° - 115°

=> angle XYW = 65°

Now angle WXY + angle XWY + angle XYW = 180° { sum of angles of a triangle is 180° }

=> 45° + 65° + angle XWY = 180°

=> angle XWY + 110° = 180°

=> angle XWY = 180° - 110°

=> angle XWY = 70°