Question

an exterior angle of a triangle is 130 degree and one of the interior opposite angles is 45 degree. find the other interior angle of a triangle (a) 50 (b) 85 (c) 175 (d) 40​

Answer 1

Answer

By exterior angle property of a triangle the exterior angle is equal to the sum of the interior angles of the triangle. (Triangle exterior angles definition)

Given exterior angle is 130° and one of the interior angles is 45° so others interior angle is 130–45 so the other interior angle is 85°

By angle sum property of the triangle (Angle Sum Property Of A Triangle & Exterior Angle Theorem) it is 85°+45°+x°=180°

So x=180°-130°=50°

So other two angles are 85° and 50°

Step-by-step explanation: