Question

An exterior angle of a triangle is 106 degree and its two interior opposite angles are equal. Find each of these angles.

Answer 1

It is the solution for your question

Answer 2

Answer:

The two angles are 53° each

Step-by-step explanation:

Given:

external angle = 106

two interior angles are ∠A and ∠B

Both the interior opposite angles are equal i.e ∠A = B

To find: ∠A and ∠B

Solution:

we know that,

the sum of two interior oppostie angles of a triangle is equal to the external angle.

A/Q,

∠A + ∠B = 106

=> ∠A + ∠A = 106 [∵ ∠A = ∠B, Both the opposite interior angles are equal]

=> 2∠A = 106

∴ ∠A = 53°

Hence, the two interior opposite angles are 53°. Ans

#SPJ3