An exterior angle of a triangle is 110° and its two interior opposite angles are equal. Each of these equal angles is

Question:

An exterior angle of a triangle is 110° and its two interior opposite angles are equal. Each of these equal angles is

(a) $70^{\circ}$

(b) $55^{\circ}$

(c) $35^{\circ}$

(d) $27 \frac{1^{\circ}}{2}$

 

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).

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Comments

Yashaswini
Aug. 25, 2023, 6:35 a.m.
How? explain me
Manshi
Aug. 16, 2023, 5:49 p.m.
Thanks for this solution
Anik Hazra
March 29, 2023, 9:18 a.m.
Resolved by very easy method, evry body can understand. Very nice 👌
Anik Hazra
March 29, 2023, 6:35 a.m.
Resolved by very easy method, evry body can understand. Very nice 👌
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