Question

If m∠1=(4x−3)° and m∠2=(3x+8)°, find the value of x such that ∠1 is supplementary to ∠2.

Answer 1

x = 25

Explanation:

2 supplementary angles sum to 180° , that is

∠ 1 + ∠ 2 = 180°

sum the 2 angles, equate to 180 and solve for x

4x - 3 + 3x + 8 = 180 ( simplify left side )

7x + 5 = 180 ( subtract 5 from both sides )

7x = 175 ( divide both sides by 7 )

x = 25