wikiHow Calculating Angles Practice Problems Calculating Interior Angles in a Polygon: 1. What is the sum of the interior angles in a hexagon? 2. Find the measure of each interior angle in a regular pentagon. 3. A heptagon has an exterior angle measure of 45 degrees. What is the measure of each interior angle? 4. Find the measure of each interior angle in a quadrilateral. 5. If an octagon has one interior angle that measures 120 degrees, what is the measure of each of the remaining interior angles? 6. What is the sum of the interior angles in a nonagon? 7. Find the measure of each interior angle in a regular decagon. 8. A dodecagon has one interior angle that measures 135 degrees. What is the measure of each of the remaining interior angles? 9. What is the measure of each interior angle in an isosceles triangle with a base angle of 45 degrees? 10. Find the measure of each interior angle in an irregular pentagon with one angle measuring 90 degrees. Finding Angles in a Right Triangle: 1. Find the measure of angle A in a right triangle where the opposite side measures 3 and the hypotenuse measures 5. 2. If angle C in a right triangle measures 30 degrees, what is the measure of angle A? 3. Find the measure of angle B in a right triangle where the adjacent side measures 4 and the hypotenuse measures 5. 4. If angle A in a right triangle measures 45 degrees, what is the measure of angle C? 5. Find the measure of angle C in a right triangle where the opposite side measures 12 and the adjacent side measures 16. 6. If angle B in a right triangle measures 60 degrees, what is the measure of angle A? 7. Find the measure of angle A in a right triangle where the opposite side measures 7 and the adjacent side measures 24. 8. If angle C in a right triangle measures 45 degrees, what is the measure of angle B? 9. Find the measure of angle B in a right triangle where the opposite side measures 5 and the adjacent side measures 12. 10. If angle A in a right triangle measures 30 degrees, what is the measure of angle C? Page