The values of x is 12 and y is 8.
What are similar triangles?
Similar triangles are triangles whose shape may differ in size but they often have same shape.
Given that Δ MTW = Δ BGK, Then;
∠M =∠B
∠T = ∠G
∠W = ∠K
In the diagram, ∠ M is unknown but ∠ B = 11y + 6
∠ T = ∠G
4x - 3 = 45
4x = 45 + 3
4x = 48
x = 48/4
x = 12
∠T = 4(12) - 3
∠T = 45°
The sum of angles in a triangle = 180°
∠M + ∠T + ∠W = 180
∠M + 45° + 41° = 180°
∠M = 180° - 86°
∠M = 94°
Recall that:
∠M =∠B
94 = 11y + 6
11y = 94 - 6
11y = 88
y = 88/11
y = 8