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For triangle XYZ, m∠X = 38°, m∠Y = (5x − 11)°, and m∠Z = (4x − 45)°. Find m∠Y.

m∠Y = 22°
m∠Y = 43°
m∠Y = 99°
m∠Y = 158°



Answer :

raphealnwobi

The value of m∠Y in triangle XYZ is 99°

How to solve an equation

An equation is used to show the relationship between two or more numbers and variables.

In triangle XYZ, the angles are angle x, y and z. Hence:

∠X + ∠Y + ∠Z = 180° (sum of angles in a triangle)

Substituting:

38 + (5x -11) + (4x -45) = 180

Collecting like terms:

9x - 18 = 180

9x = 198

x = 22

m∠Y = 5(22) - 11 = 99°

m∠Y is 99°

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