Question

Please help, this is due today:

Answer 1

Answer:

x = 17

Step-by-step explanation:

∠ DCE = ∠ ACE ( vertically opposite angles )

The sum of the 3 angles in a triangle = 180° , then

∠ DCE = 180° - (100 +x) = 180 - 100 - x = 80 - x

∠ ACE = 180 - (49 + 4x) = 180 - 49 - 4x = 131 - 4x

Equating the 2 angles

80 - x = 131 - 4x ( add 4x to both sides )

80 + 3x = 131 ( subtract 80 from both sides )

3x = 51 ( divide both sides by 3 )

x = 17