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

Circle the best answer, or write your answer on the line.
Luz measures two angles of a triangular sail: 46° and 57°. How many degrees is the third angle?
Milo measures two angles of a triangular ramp side: 38° and 69°. How many degrees is the third angle?
A triangle with two angles marked, 38° and 69° (sketch, not to scale). A triangle with two angles marked, 38° and 69° (sketch, not to scale). 38° 69° Not to scale Noah measures two angles of a triangular tent end: 26° and 84°. How many degrees is the third angle?
A triangle with two angles marked, 26° and 84° (sketch, not to scale). A triangle with two angles marked, 26° and 84° (sketch, not to scale). 26° 84° Not to scale Bo builds an isosceles sail frame. The top angle is 100°. How many degrees is each base angle?
Isosceles triangle with the top angle 100° and the two equal base angles marked with the same arc (sketch, not to scale). Isosceles triangle with the top angle 100° and the two equal base angles marked with the same arc (sketch, not to scale). 100° Not to scale Esme builds an isosceles roof frame. Each base angle is 65°. How many degrees is the top angle?
Isosceles triangle with the two equal base angles marked 65° (sketch, not to scale). Isosceles triangle with the two equal base angles marked 65° (sketch, not to scale). 65° 65° Not to scale Ren draws triangle GHQ and extends side GH past corner H. The outside angle at H is 118° and angle G is 47°. How many degrees is angle Q?
Triangle GHQ with side GH extended past H (sketch, not to scale). Triangle GHQ with side GH extended past H (sketch, not to scale). G H Q Not to scale Ari draws triangle DFG and extends side DF past corner F. The outside angle at F is 141° and angle D is 63°. How many degrees is angle G?
Triangle DFG with side DF extended past F (sketch, not to scale). Triangle DFG with side DF extended past F (sketch, not to scale). D F G Not to scale Bo draws triangle CDF and extends side CD past corner D. Angle C is 50° and angle F is 60°. Which equation finds x, the outside angle at D?
Triangle CDF with side CD extended past D; the outside angle at D is marked x (sketch, not to scale). Triangle CDF with side CD extended past D; the outside angle at D is marked x (sketch, not to scale). Sketch, not to scale x C D F - x = 180 − 50 − 60
- x = 50 + 60
- x = 60 − 50
Jun draws triangle UVW and extends side UV past corner V. Angle U is 38° and angle W is 51°. Which equation finds x, the outside angle at V?
Triangle UVW with side UV extended past V; the outside angle at V is marked x (sketch, not to scale). Triangle UVW with side UV extended past V; the outside angle at V is marked x (sketch, not to scale). x U V W Not to scale. - x = 38 + 51
- x = 51 − 38
- x = 180 − 38 − 51
Kira draws triangle GHQ and extends side GH past corner H. Angle G is 64° and angle Q is 41°. Which equation finds x, the outside angle at H?
Triangle GHQ with side GH extended past H; the outside angle at H is marked x (sketch, not to scale). Triangle GHQ with side GH extended past H; the outside angle at H is marked x (sketch, not to scale). Triangle GHQ with side GH extended past H; the outside angle at H is marked x (sketch, not to scale). x G H Q - x = 64 − 41
- x = 64 + 41
- x = 180 − 64 − 41

