Question

Need help finding the value of x and y

Answer 1

Answer:

The values of x = 12 and y = 8.

Step-by-step 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