Larger angle opposite the longer side, and isosceles and equilateral triangles

Answer Key - Grade 10 Math Worksheet - Building Confidence

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

1. 1.

   Kira sketches the front of a tent as triangle DFG, with m∠D = 38° and m∠F = 57°. Which side of the triangle is the longest?

   • You cannot tell without the side lengths.
   • FG
   • DG
   • DF
2. 2.

   Luz draws the top half of a kite as triangle HQS, with m∠H = 46° and m∠Q = 63°. Which side of the triangle is the longest?

   • QS
   • You cannot tell without the side lengths.
   • HQ
   • HS
3. 3.

   Milo draws the pointed roof of a castle tower as triangle UWV, with m∠U = 29° and m∠W = 54°. Which side of the triangle is the longest?

   • UW
   • UV
   • You cannot tell without the side lengths.
   • WV
4. 4.

   Pia draws the roof of a house as triangle FGH, with FG = FH and m∠F = 36°. What is m∠G, in degrees?

   72
5. 5.

   Ren sketches a boat's sail as triangle QSU, with QS = QU and m∠Q = 58°. What is m∠S, in degrees?

   61
6. 6.

   Zee traces a wedge of cheese as triangle DGS, with DG = DS and m∠D = 124°. What is m∠G, in degrees?

   28
7. 7.

   Ari draws the side of a tower's pointed roof as triangle HUW, with HU = HW and m∠U = 53°. What is m∠H, in degrees?

   74
8. 8.

   Bo draws one face of a pyramid model as triangle CFQ, with CF = CQ and m∠F = 67°. What is m∠C, in degrees?

   46
9. 9.

   Esme sketches the side of a skate ramp as triangle SVY, with SV = SY and m∠V = 43°. What is m∠S, in degrees?

   94
10. 10.

    Jun traces a watermelon slice as triangle GDU, with GD = GU and m∠D = 71°. What is m∠G, in degrees?

    38