Question

Find the value of x in each case.

Answer 1

x = 27°

4x = 108°

Explanation:

x + y + 100° = 180° _____(1)

4x + y + 49° = 180°_____(2)

(1) - (2)

`x + y + {100}^(o) - (4x + y + {49}^(o) ) = {180}^(o) - {180}^(o) \\ x + y + {100}^(o) - 4x - y - {49}^(o) = 0 \\ - 3x + {51}^(o) = 0 \\ - 3x = 0 - {51}^(o) \\ - 3x = - {51}^(o) \\ x = ( - 51)/( - 3) \\ x = {27}^(o) \\`

4x

= 4(27°)

= 108°