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

Answer Key - Grade 10 Math Worksheet - Challenge Me

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

1. 1.

   Kira sketches a boat's sail as triangle FHW, with FH = FW, m∠F = (2x − 14)° and m∠H = (x + 29)°. What is m∠W, in degrees?

   63
2. 2.

   Milo draws the top half of a kite as triangle CDU, with CD = CU, m∠C = (3x + 12)° and m∠D = (3x − 6)°. What is m∠U, in degrees?

   54
3. 3.

   Noah draws one face of a pyramid model as triangle GVS, with GV = GS, m∠G = (4x + 18)° and m∠V = (3x + 1)°. What is m∠S, in degrees?

   49
4. 4.

   Pia sketches a roof truss as triangle DGW, with m∠D = (x + 15)°, m∠G = (2x + 5)° and m∠W = (3x − 20)°. Which list gives the sides, longest first?

   • GW, DW, DG
   • WD, GW, DG
   • DG, GW, DW
   • DG, DW, GW
5. 5.

   Ren labels half of a sandwich as triangle FQU, with m∠F = (x + 15)°, m∠Q = (3x + 8)° and m∠U = (5x − 14)°. Which list gives the sides, longest first?

   • UF, QU, FQ
   • FQ, FU, QU
   • FQ, QU, FU
   • QU, FU, FQ
6. 6.

   Tala traces a watermelon slice as triangle HSC, with m∠H = (x + 15)°, m∠S = (4x − 10)° and m∠C = (x + 25)°. Which list gives the sides, longest first?

   • HC, SC, HS
   • HC, HS, SC
   • SC, HS, HC
   • SC, CH, HS
7. 7.

   Ari draws the side of a tower's pointed roof as triangle FHQ, with FH = FQ. Side QH is extended past H to D, and m∠FHD = 118°. What is m∠F, in degrees?

   56
8. 8.

   Bo sketches the side of a skate ramp as triangle SUY, with SU = SY. Side YU is extended past U to G, and m∠SUG = 131°. What is m∠S, in degrees?

   82
9. 9.

   Esme draws the pointed roof of a castle tower as triangle CVW, with CV = CW. Side WV is extended past V to D, and m∠CVD = 107°. What is m∠C, in degrees?

   34
10. 10.

    Jun traces a wedge of cheese as triangle GHU, with GH = GU. Side UH is extended past H to S, and m∠GHS = 126°. What is m∠G, in degrees?

    72