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User JDutil
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1 Answer

7 votes

Answer:

x=3

Explanation:

Because the shape is a rhombus that means that WZ and XY are parallel

This means we can use the co-interior angles rule to conclude that ∠WZY and ∠XYZ add up to 180°

This means that ∠WZY is 44°

Because the shape in a rhombus ZX and WY are perpendicular

This means that ∠ZRY is a right angle (90°)

Because ZX and WY are perpendicular that means that ∠ZYX is split in half which makes ∠ZYW 68°

Because the angles in a triangle add up to 180°

(10x-8)+68+90=180

(10x-8)+158-158=180-158

10x-8+=22+8

10x/10=30/10

x=3

User Lawakush Kurmi
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