An exterior angle of a triangle is 110° and its two interior opposite angles are equal. Each of these equal angles is
(a) 70°
(b) 55°
(c) 35°
(d) 27 $\frac{1 °}{2}$

Open in App

Solution

Let the measure of each of the two equal interior opposite angles of the triangle be x.

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

∴ x + x = 110°

⇒ 2x = 110°

⇒ x = 55°

Thus, the measure of each of these equal angles is 55°.

Hence, the correct answer is option (b).

Suggest Corrections

Similar questions

An exterior angle of a triangle is 105^o and its two interior opposite angles are equal. Each of these equal interior angles are

Question 26

If the exterior angle of a triangle is $130^{\circ}$ and its interior opposite angles are equal, then measure of each interior opposite angle is

a) $55^{\circ}$
b) $65^{\circ}$
c) $50^{\circ}$
d) $60^{\circ}$

105^{0}

105^{o}

Join BYJU'S Learning Program