Question

4.) Answer the following problems based on the triangle below:



Find X

Find the measure of angle b

Find the measure of angle c

Answer 1

The value of the angles in the triangle is as follows:

• x = 3
• ∠B = 70°
• ∠C = 50°

How to angle in a triangle?

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.

Therefore,

120 = ∠B + ∠C

∠B = 22x + 4

∠C = 15x + 5

120 = 22x + 4 + 15x + 5

120 = 22x + 15x + 4 + 5

120 - 9 = 37x

111 = 37x

divide both sides by 37

111 / 37 = x

x = 3

∠B = 22(3) + 4 = 66 + 4 = 70°

∠C = 15(3) + 5 = 45 + 5 = 50°

learn more on exterior angle theorem here: brainly.com/question/16256503

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