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Exploring Angles in Shapes

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Exploring Angles in Shapes

Help plan a mini-golf course by solving angle puzzles. Show your working for calculations. Angles are measured in degrees (°).

Angle clues

Use the shape cards to answer Questions 1–3.

Triangle A: angles 48°, 67°, and x°

Quadrilateral B: angles 90°, 105°, 82°, and y°

Course turn C: one angle measures 128°

1.In Triangle A, find x. What fact about triangles helps you solve it?
2.Find y in Quadrilateral B. State the total interior angle sum you used.
3.Course turn C is 128°. Choose its angle type.
  • Acute
  • Right
  • Obtuse
  • Straight

Design the course

Use angle facts to make safe, interesting turns for the mini-golf route.

4.A ramp meets the ground at 90°. What type of angle is this?
  • Acute
  • Right
  • Obtuse
  • Reflex
5.A triangular obstacle has angles of 50° and 80°. Calculate its third angle and explain the calculation.
6.A four-sided putting platform has three angles of 88°, 94°, and 101°. Find the fourth angle.
7.The route includes a 35° turn. Is it acute, right, obtuse, or straight? Explain using the size of the angle.
8.Two angles meet on a straight path. One is 124°. Find the other angle and name the angle fact used.
9.Design a triangular mini-golf sign with one angle of 90° and another of 37°. Calculate the third angle, then draw and label the three angles.
10.A builder says a four-sided platform can have interior angles totalling 300°. Is the builder correct? Give the correct total and explain briefly.

2 printable pages

  • Exploring Angles in Shapes, page 1 of 2: Angle clues, Design the course

    Page 1

  • Exploring Angles in Shapes, page 2 of 2: 5. A triangular obstacle has angles of 50° and 80°. Calculate its third angle and explain…

    Page 2

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