Question

Two lines intersect at a point and a ray is drawn from the point of intersection. The ray divides the angle between the lines into 1:2 ratio. One of the angles is given, find the value of 'x'.

• A. ${30}^{\circ }$
• B. ${50}^{\circ }$
• C. ${60}^{\circ }$
• D. ${100}^{\circ }$

Answer 1

The correct option is B

${50}^{\circ }$

From the diagram, ${30}^{\circ }$, 1x and 2x all lie on the same side of the 'line 2'.

So, the sum of all three angles is ${180}^{\circ }$ ( Linear pair)

or, ${30}^{\circ }$ +x +2x = ${180}^{\circ }$

or, 3x = ${150}^{\circ }$

or, x = ${50}^{\circ }$