Question

In triangle ABC, angle A

measures 3x + 6 degrees,
angle B measures 4x + 2
degrees and Angle C
measures 10x + 2 degrees, find
the measure of Angle C

Answer 1

∠c= 102°

Explanation:

Angle sum property of triangle:

Sum of all angles of triangle = 180°

∠A + ∠B + ∠C = 180

3x +6 + 4x + 2 + 10x + 2 = 180

3x + 4x + 10x + 6 + 2 + 2 =180

Combine like terms,

17x + 10 = 180

Subtract 10 from both sides,

17x = 180 - 10

17x = 170

Divide both sides by 17,

x = 170 ÷ 17

`\sf \boxed{x = 10}`

∠C = 10x + 2

= 10*10 + 2

= 100 +2

= 102°