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Need help finding the value of x and y

Need help finding the value of x and y-example-1

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Answer:

The values of x = 12 and y = 8.

Explanation:

From the given figure ,

ΔMTW≅ΔBGK

That is, these two triangles are congruent.

If two triangles are congruent , all the corresponding angles and corresponding sides are equal.

Congruency is different from similarity . Similarity means two triangles which are the same with different dimensions.

Therefore , ∠MTW = ∠BGK

(4x - 3)° = 45°

4x = 48°

x = 12

Since ∠MTW = 45° ,

∠TMW = 180 - (41 +45)

= 180 - 86

=94°

From congruency ,

∠TMW = ∠GBK

94° = 11y + 6

11y = 88°

y = 8

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