Question

Select the correct answer.
In the given diagram, m | n
m
52
2x
Determine the value of x.
64°
19
59
25

Answer 1

Answer:

64°

Step-by-step explanation:

y = 52° ( Opposite Angles )

y + 2x = 180° ( Interior Angles )

$y + 2x = {180}^{o} \\ {52}^{o} + 2x = {180}^{o} \\ 2x = {180}^{o} - {52}^{o} \\ 2x = {128}^{o} \\ x = \frac{ {128}^{o} }{2} \\ x = {64}^{o}$