Question

An exterior angle of a triangle is 105º and its two interior opposite angles are such that one angle is 1
greater than the other. Then angles are​

Answer 1

Answer:

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

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°

Answer 2

Given: Exterior angle = 105

∘

Let the two Interior angles be x.

Sum of Interior opposite angles = Exterior angle

x+x=105

2x=105

x=52.2∘