Question

Could you help me find the degree measure of each angle in the triangle?

Answer 1

• ∠V = 70°
• ∠W = 55°
• ∠X = 55°

Explanation:

You want the angles in isosceles triangle VWX with base angles marked ∠W = (3x +22)° and ∠X = (5x)°.

Isosceles triangle

The base angles of an isosceles triangle are congruent:

∠X = ∠W

(5x)° = (3x +22)° . . . . . . use given expressions

2x = 11 . . . . . . . . . . . subtract 3x

x = 11 . . . . . . . . . . divide by 2

∠X = ∠W = 5(11)° = 55° . . . . . . . evaluate the expression for ∠X

The apex angle brings the total to 180°.

∠V +∠W +∠X = 180°

∠V +55° +55° = 180°

∠V = 180° -110° = 70°

Angles V, W, and X are 70°, 55°, 55°, respectively.

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