Question

Given that in ABC, angle C is 12 less than 4 times x, angle A is 11 more than twice x, and angle B is 8 less than 3 times x. Find the m of angle

C

Answer 1

m∠C = 72°

Explanation:

The sum of the angles in the triangle is 180°.

A +B +C = 180°

(2x +11)° +(3x -8)° +(4x -12)° = 180°

9x = 189 . . . . . . . . divide by °, add 9

x = 21 . . . . . . . . . divide by 9

Angle C is ...

(4x -12)° = (4(21) -12)° = 72° . . . . angle C

_____

Additional comment

Angle A is 53°; angle B is 55°.