Question

In the figure below, line l is perpendicular to line n. What is the value of x?

Answer 1

x = 55°

Explanation:

A triangle's angles add up to 180 degrees because one exterior angle is equal to the sum of the other two angles in the triangle.

So we are give 2 out of the 3 angles trhat sum up to 180

- its very clear there is a 90 degree angle indicated by the right angle

- due to vertical angle rule the opposite side of the 35 degree angle is also 35 degrees

90 + 35 + x = 180

125 + x = 180

- 125 -125

x = 180 - 125

x = 55

due to the same logic as the 35 degree angle of opposite vertical angles and are thus congruent which means angle x is also 55°.

Answer 2

Answer: x = 55°

Explanation:

Since this is a triangle, we know that all angles will add up to 180°.

-> Vertical angles gives us one equal to 35°

-> Vertical angles also gives us one equal to x°

-> The box, showing this is a right triangle, represents 90°

180° - 90° - 35° = x

55° = x

x = 55°