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8th grade Angles of a triangle: the sum and the exterior angle worksheet

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Angles of a triangle: the sum and the exterior angle

Grade 8 Math Worksheet - Building Confidence

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Circle the best answer, or write your answer on the line.

  1. 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?

  2. 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?

  3. 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?

  4. 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?

  5. 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?

  6. 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?

  7. 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?

  8. 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?

  9. 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?

  10. 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?

    • A full circle around one point: 360°
    • A square corner: 90°
    • A straight line: 180°
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8th grade Angles of a triangle: the sum and the exterior angle worksheet – printable
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About this worksheet

Angles of a triangle: the sum and the outside angle. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can find a triangle's third angle (180° in all), including in a right triangle (90° corner) and an isosceles triangle (two equal base angles).
  • I can find an outside angle two ways: 180° minus the inside angle next to it, or the two far angles added.
  • I can solve for x when angles are written with x, and give the angle the question asks for.
  • I can explain why the angles of a triangle add to 180°.

Standard: 8.G.A.5 (triangle sum, exterior angle)

Words to know

inside angle: An angle inside the triangle, at one of its three corners.

outside (exterior) angle: The angle outside the triangle at a corner, made when one side is extended.

far angles: The two inside angles that are not at the corner of the outside angle.

straight line: A line with no bend. Angles side by side along it add to 180°.

isosceles triangle: A triangle with two equal sides. Its two base angles are equal.

right triangle: A triangle with a 90° corner. Its other two angles add to 90°.

unknown angle: An angle we don't know yet, often written with x, like (3x + 30)°.

Common mistakes

Used 360° where the total is 180°: for the angles of a triangle, or for a straight line (360° is a full turn). Tear the corners off a paper triangle and line them up along a straight edge.

Used 90° (a square corner) where the angles make a straight line (180°).

Added the known angles where the missing angle is what is left of the total (or, for a far angle, what is left of the outside angle).

What to say

Ask: is this a straight line or a square corner?

Ask: is the missing angle the two angles together, or what is left?

Questions parents ask

What is the most common mistake with angles of a triangle: the sum and the exterior angle?

Used 360° where the total is 180°: for the angles of a triangle, or for a straight line (360° is a full turn). Tear the corners off a paper triangle and line them up along a straight edge.

Are these 8th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More grade 8 math

See all grade 8 math

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