Question

n a triangle an exterior angle at a vertex is 95 degree and its one of the interior angle is 55 degree, find all angles of the triangle

Answer 1

Exterior angle=95°
One of the interior angle is 55°
Exterior angle=sum of the opposite interior angles.
Let x be the another opposite interior angle
95°=55°+x
x=95°-55°
x=40°
The another opposite interior angle is 40°.
Let y be the third angle in the triangle.
The angles in a triangle are:-
55°+40°+y=180°
95°+y=180°
y=180°-95°
y=85°
The angles in a triangle are 55°,40° and 85°

hope it helps

Answer 2

Exterior angle = sum of interior opposite angle
Given
Exterior angle =95
One interior opposite angle = 55
Second interior angle = x
x+55=95
x=95-55
x=40
2) sum of 3 interior angles in a triangle =180
55+40+ third angle = 180
Third angle = 180-95=85
All angles of the triangle. are
55,40,85