Answer: x=64°
Explanation:
According to the diagram, the two intersecting lines are perpendicular. That means each part is 90°. Since the left side is labelled to be 180°, we know that the sum of the right side is also 180°.
26+x+90=180 [combine like terms]
116+x=180 [subtract both sides by 116]
x=64°
Now, we know that x=64°.
On the other hand, we can see that 26+x=90. We can also use that to solve for x.
26+x=90 [subtract both sides by 26]
x=64°