Question

In the given figure, if the measure of the angles x, y and z are in the ratio 2 : 3 : 4, then find the measure of angle x.

• A. 40°
• B. 60°
• C. 80°
• D. 75°

Answer 1

The correct option is A 40°

Given, the measure of the angles x, y and z are in the ratio 2 : 3 : 4.

Let the measure of angles x, y and z be 2a, 3a and 4a.

From the figure, angles x, y and z form a linear pair.
$\Rightarrow 2a+3a+4a={180}^{\circ }$
$\Rightarrow 9a={180}^{\circ }$
$\Rightarrow a={20}^{\circ }$

Now,
$x=2\times a=2\times {20}^{\circ }={40}^{\circ }$