Find the measure of angle x in the figure below:

Question

Find the measure of angle x in the figure below:

1.  60° 
2. 50° 
3. 110° 
4. 70°

Answer 1

angle x and angle y are Vertical angles therefore <y=<x

To solve for angle x we must first solve for y:

Remember, the sum of 3 angles of a triangle is 180^o

^Therefore:

60 + 50 + y = 180

110 + y = 180

Solve for y:

y = 180 - 110

y = 70⁰

Since y = x, then x = 70^o

The answer is 70^o