Question

Q13.In a triangle exterior angle is 105° and one of its interior opposite angle is 87° Find the
measure of all the angles of the triangle.​

Answer 1

We know,

SUM OF TWO INTERIOR ANGLES = OPPOSITE EXTERIOR ANGLE

ATC

Exterior Angle = 105° - 87° = 18°

First angle = 87°

Second angle = 18°

Third angle = 180° - (87° + 18°). (SUM OF ALL THE THREE ANGLES OF A TRIANGLE IS 180°)

= 180° - 105° = 75°