Two exterior angles of a triangle equal 100° and 150°. Find all the interior angles.

Answer:The interior angles for this triangle are 80º, 30º and 70º.Step-by-step explanation:The sum of a interior angle with it's respective exterior angle is also always 180º.So, for the exterior angle that is 100º, we can find the first interior angle of the triangle100º + A1 = 180ºA1 = 180º - 100ºA1 = 80ºThe first interior angle of this triangle is A1 = 80º;For the exterior angle that is 150º, we can find the second interior angle of the triangle.150º + A2 = 180ºA2 = 180º - 150ºA2 = 30ºThe second interior angle of this triangle is A2 = 30º.From here, to find the third interior angle, we apply the following definitionThe sum of the three interior angles of a triangle is always 180º.So:A1 + A2 + A3 = 180º80º + 30º + A3 = 180º110º + A3 = 180ºA3 = 180º - 110ºA3 = 70ºThe third interior angle of this triangle is A3 = 70º.The interior angles for this triangle are 80º, 30º and 70º.