Question

If we bisect an angle x twice consecutively and each angle formed measures 30°, then what is the value of the angle x?

• A. ${130}^{\circ }$
• B. ${140}^{\circ }$
• C. ${150}^{\circ }$
• D. ${120}^{\circ }$

Answer 1

The correct option is D ${120}^{\circ }$

An angle bisector divides the angle into 2 equal angles.
So, if we have a ${30}^{\circ }$ angle which we got after bisecting x twice, the angle we had before the 2nd bisection was ${30}^{\circ }$ x 2 = ${60}^{\circ }$
And the angle x that we had before bisecting it the first time = ${60}^{\circ }$ x 2 = ${120}^{\circ }$