Question

LaTeX: \angle∠1 and LaTeX: \angle2 are supplementary. If mLaTeX: \angle1= (2x+5)LaTeX: ^\circ∘ and mLaTeX: \angle2 = (x + 4)LaTeX: ^\circ∘, what is the value of x?

Answer 1

Explanation:

For two angles to be supplementary, the sum of the angles must be equal to 180°. Since ∠1 and ∠12 are supplementary according to the question, then;

∠1 +∠12 = 180°

Given

∠1 = (2x+5)°

∠12 = (x+4)°

Required

The value of x

Substituting the given angle into the formula to get x

(2x+5)°+ (x+4)° = 180°

3x+9 = 180

subtract 9 from both sides

3x+9-9 = 180-9

3x = 171

x = 57°

Hence the value of x is 57°