Question

In the given figure, if x= ${120}^{\circ }$ and y= ${50}^{\circ }$, then find the value of z.

• A.
• B.
• C.
• D.

Answer 1

The correct option is A

In a triangle, the exterior angle is equal to the sum of interior opposite angles.

The exterior angle here is 'x' and the interior opposite angles are 'y' and 'z'.

Thus, x = y + z

$\therefore$, 120 = 50 + z

$⟹$ 120 - 50 = z

$⟹$ z = ${70}^{\circ }$