Question

an exterior angle of triangle is 105 degrees and its two
interior angles are equal what will be the measure of each of the angles

Answer 1

Given exterior angle of triangle= 105°
Let the two opposite interior angles of triangle = x

We know that
Exterior angle of a triangle = sum of interior opposite angles

Therefore

105° = x + x

2x = 105°

X = 52.5°

Answer 2

HEYA!
HERE IS YOUR ANSWER


EXTERIOR ANGLE OF THE TRIANGLE= 105 DEGREES
AND BOTH the Interior angles are equal..
let both the equal angles be x degree each

then ,
=> 105° = x°+x°   ∵(exterior angle of a triangle is equal to the sum of interior opposite angles..)

∴ 105° = 2x°
105/2 = x°

therefore,
x° = 52.5°

HOPE THIS HELPS YOU