Question

Find the value of x in each case.

Answer 1

Answer:

x = 27°

4x = 108°

Step-by-step explanation:

x + y + 100° = 180° _____(1)

4x + y + 49° = 180°_____(2)

(1) - (2)

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

4x

= 4(27°)

= 108°