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.
Bo measures a paper triangle. Two of its angles are 53° and 39°. 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 Kira draws triangle CDF and extends side CD past corner D. The inside angle at D is 64°. The sketch writes 180° along the straight line. How many degrees is the outside angle at D?
Triangle CDF with side CD extended past D; the inside angle at D is 64°, and 180° is written along the straight line (sketch, not to scale). Triangle CDF with side CD extended past D; the inside angle at D is 64°, and 180° is written along the straight line (sketch, not to scale). C D F 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 Pia draws triangle SUV and extends side SU past corner U. Angle S is 42° and angle V is 58°. How many degrees is the outside angle at U?
Triangle SUV with side SU extended past U (sketch, not to scale). The outside angle at U is marked with the arrow “= angle S + angle V”. Triangle SUV with side SU extended past U (sketch, not to scale). The outside angle at U is marked with the arrow “= angle S + angle V”. = angle S + angle V S U V 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 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. Ari cuts three copies of a 50°-60°-70° triangle and puts the three different corners side by side along a ruler. What do the three corners make together?
- A straight line: 180°
- A square corner: 90°
- A full turn around a point: 360°
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?
Use the picture in question 8.
- A square corner: 90°
- A full circle around one point: 360°
- A straight line: 180°
Jun cuts three copies of a 40°-70°-70° triangle and puts the three different corners side by side along a ruler. What do the three corners make together?
Use the picture in question 8.
- A square corner: 90°
- A full turn: 360°
- A straight line: 180°