Question

An exterior Angle of a triangle is 105° and its two interior opposite angles are equal. Each of

these angle is

(a) 37 ½° (b) 52 ½° (c) 72 ½ ° (d) 75°​

Answer 1

Answer:

Let one angle be x, then the other will be x too

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

2x = 105

x = 105/2

x = 52.5

Hence the correct answer is option (b)

Answer 2

Step-by-step explanation:

Let each interior opposite angle be x.

Since we know that exterior angle is equal to sum of interior opposite angles,

Therefore, Exterior angle = x + x

[Since each interior opposite angle is x]

= 105° = 2x

= x = 105°/2

= x = 52.5°

Hence correct option is (b).

Hope this helps....