One of the interior opposite angles of a triangle is 40degree if the measure of the exterior angle is 120degree find the measure of the other two angles of the triangle
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One of the interior opposite angles of a triangle is 40degree if the measure of the exterior angle is 120degree find the measure of the other two angles of the triangle
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120° =40° +x
so
x=80°
now third angle of triangle=180-120=60°
so angles are 40,60,80
Exterior angle = sum of opposite interior angles
Let the other opposite interior angle be x.
120 = 40 + x
x = 120 - 40
x = 80°
Sum of all angles in a triangle is 180°
Let the other angle in the triangle be y
40 + 80 + y = 180
120 + y = 180
y = 180 - 120
y = 60°
Answer: The other 2 angles are 80° and 60°