Angles of a triangle: the sum and the exterior angle
Grade 8 Math Worksheet - Building Confidence

Circle the best answer, or write your answer on the line.
Ari measures a triangular sail. Two of its angles are 47° and 68°. The sketch writes 180° beside the triangle. What is the third angle?
Esme measures a triangular tent flap. Two of its angles are 35° and 73°. The sketch writes 180° beside the triangle. What is the third angle?
Triangle with angles 35° and 73° marked and 180° written beside it (sketch, not to scale). Triangle with angles 35° and 73° marked and 180° written beside it (sketch, not to scale). 35° 73° 180° Not to scale Jun measures a triangular kite wing. Two of its angles are 62° and 64°. The sketch writes 180° beside the triangle. What is the third angle?
Triangle with angles 62° and 64° marked and 180° written beside it (sketch, not to scale). Triangle with angles 62° and 64° marked and 180° written beside it (sketch, not to scale). 62° 64° 180° Not to scale Luz draws triangle GHQ and extends side GH past corner H. The inside angle at H is 38°. The sketch writes 180° along the straight line. How many degrees is the outside angle at H?
Triangle GHQ with side GH extended past H; the inside angle at H is 38°, and 180° is written along the straight line (sketch, not to scale). Triangle GHQ with side GH extended past H; the inside angle at H is 38°, and 180° is written along the straight line (sketch, not to scale). G H Q 38° 180° Not to scale Milo draws triangle SUV and extends side SU past corner U. The inside angle at U is 71°. The sketch writes 180° along the straight line. How many degrees is the outside angle at U?
Triangle SUV with side SU extended past U; the inside angle at U is 71°, and 180° is written along the straight line (sketch, not to scale). Triangle SUV with side SU extended past U; the inside angle at U is 71°, and 180° is written along the straight line (sketch, not to scale). S U V 71° 180° Not to scale Noah draws triangle WYC and extends side WY past corner Y. The inside angle at Y is 85°. The sketch writes 180° along the straight line. How many degrees is the outside angle at Y?
Triangle WYC with side WY extended past Y; the inside angle at Y is 85°, and 180° is written along the straight line (sketch, not to scale). Triangle WYC with side WY extended past Y; the inside angle at Y is 85°, and 180° is written along the straight line (sketch, not to scale). W Y C 85° 180° Not to scale Ren draws triangle WYC and extends side WY past corner Y. Angle W is 36° and angle C is 49°. How many degrees is the outside angle at Y?
Triangle WYC with side WY extended past Y (sketch, not to scale). The outside angle at Y is marked with the arrow “= angle W + angle C”. Triangle WYC with side WY extended past Y (sketch, not to scale). The outside angle at Y is marked with the arrow “= angle W + angle C”. Sketch, not to scale = angle W + angle C W Y C Tala draws triangle DFG and extends side DF past corner F. Angle D is 57° and angle G is 29°. How many degrees is the outside angle at F?
Triangle DFG with side DF extended past F (sketch, not to scale). The outside angle at F is marked with the arrow “= angle D + angle G”. Triangle DFG with side DF extended past F (sketch, not to scale). The outside angle at F is marked with the arrow “= angle D + angle G”. = angle D + angle G D F G Not to scale. Zee draws triangle HQS and extends side HQ past corner Q. Angle H is 44° and angle S is 71°. How many degrees is the outside angle at Q?
Triangle HQS with side HQ extended past Q (sketch, not to scale). The outside angle at Q is marked with the arrow “= angle H + angle S”. Triangle HQS with side HQ extended past Q (sketch, not to scale). The outside angle at Q is marked with the arrow “= angle H + angle S”. = angle H + angle S H Q S Not to scale. Esme cuts three copies of a 30°-40°-110° triangle and puts the three different corners side by side along a ruler. What do the three corners make together?
Three copies of the same triangle, corners touching, the three different corners side by side on one straight ruler (sketch, not to scale). Three copies of the same triangle, corners touching, the three different corners side by side on one straight ruler (sketch, not to scale). Not to scale. - A full circle around one point: 360°
- A square corner: 90°
- A straight line: 180°