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Miter Angle worksheet

Grades 7–9 · CCSS 7.G.B.5, HSG.SRT.C.8

Solve each problem and show your work. Round answers to 2 decimal places where needed.

1.
Problem 1.
- I know the: Corner angle
- Corner angle between the two pieces: 140 °
- The sides lean outward (sloped box, hopper or tapered planter): No
Find: Saw miter setting
Answer
2.
Problem 2.
- I know the: Number of sides
- Number of sides: 8
- The sides lean outward (sloped box, hopper or tapered planter): No
Find: Saw miter setting
Answer
3.
Problem 3.
- I know the: Corner angle
- Corner angle between the two pieces: 160 °
- The sides lean outward (sloped box, hopper or tapered planter): No
Find: Saw miter setting
Answer
4.
Problem 4.
- I know the: Number of sides
- Number of sides: 5
- The sides lean outward (sloped box, hopper or tapered planter): No
Find: Saw miter setting
Answer
5.
Problem 5.
- I know the: Number of sides
- Number of sides: 4
- The sides lean outward (sloped box, hopper or tapered planter): No
Find: Saw miter setting
Answer
6.
Problem 6.
- I know the: Number of sides
- Number of sides: 3
- The sides lean outward (sloped box, hopper or tapered planter): No
Find: Saw miter setting
Answer
7.
Problem 7.
- I know the: Number of sides
- Number of sides: 10
- The sides lean outward (sloped box, hopper or tapered planter): No
Find: Saw miter setting
Answer
8.
Problem 8.
- I know the: Corner angle
- Corner angle between the two pieces: 130 °
- The sides lean outward (sloped box, hopper or tapered planter): No
Find: Saw miter setting
Answer
9.
Problem 9.
- I know the: Corner angle
- Corner angle between the two pieces: 112 °
- The sides lean outward (sloped box, hopper or tapered planter): No
Find: Saw miter setting
Answer
10.
Problem 10.
- I know the: Corner angle
- Corner angle between the two pieces: 95 °
- The sides lean outward (sloped box, hopper or tapered planter): No
Find: Saw miter setting
Answer

Answer key: Miter Angle worksheet

1. Saw miter setting: 20 °
1. Split the corner in half, because each of the two pieces takes half
  $\frac{140}{2}$ $= 70 °$
2. Take that half from 90° to get the saw setting, because the saw's scale reads 0° for a square cut
  $90 - 70$ $= 20 °$
2. Saw miter setting: 22.5 °
1. Find the corner angle. In an even-sided shape, each corner is 180° − 360° ÷ the number of sides
  $180 - \frac{360}{8}$ $= 135 °$
2. Split the corner in half, because each of the two pieces takes half
  $\frac{135}{2}$ $= 67.5 °$
3. Take that half from 90° to get the saw setting, because the saw's scale reads 0° for a square cut
  $90 - 67.5$ $= 22.5 °$
3. Saw miter setting: 10 °
1. Split the corner in half, because each of the two pieces takes half
  $\frac{160}{2}$ $= 80 °$
2. Take that half from 90° to get the saw setting, because the saw's scale reads 0° for a square cut
  $90 - 80$ $= 10 °$
4. Saw miter setting: 36 °
1. Find the corner angle. In an even-sided shape, each corner is 180° − 360° ÷ the number of sides
  $180 - \frac{360}{5}$ $= 108 °$
2. Split the corner in half, because each of the two pieces takes half
  $\frac{108}{2}$ $= 54 °$
3. Take that half from 90° to get the saw setting, because the saw's scale reads 0° for a square cut
  $90 - 54$ $= 36 °$
5. Saw miter setting: 45 °
1. Find the corner angle. In an even-sided shape, each corner is 180° − 360° ÷ the number of sides
  $180 - \frac{360}{4}$ $= 90 °$
2. Split the corner in half, because each of the two pieces takes half
  $\frac{90}{2}$ $= 45 °$
3. Take that half from 90° to get the saw setting, because the saw's scale reads 0° for a square cut
  $90 - 45$ $= 45 °$
6. Saw miter setting: 60 °
1. Find the corner angle. In an even-sided shape, each corner is 180° − 360° ÷ the number of sides
  $180 - \frac{360}{3}$ $= 60 °$
2. Split the corner in half, because each of the two pieces takes half
  $\frac{60}{2}$ $= 30 °$
3. Take that half from 90° to get the saw setting, because the saw's scale reads 0° for a square cut
  $90 - 30$ $= 60 °$
7. Saw miter setting: 18 °
1. Find the corner angle. In an even-sided shape, each corner is 180° − 360° ÷ the number of sides
  $180 - \frac{360}{10}$ $= 144 °$
2. Split the corner in half, because each of the two pieces takes half
  $\frac{144}{2}$ $= 72 °$
3. Take that half from 90° to get the saw setting, because the saw's scale reads 0° for a square cut
  $90 - 72$ $= 18 °$
8. Saw miter setting: 25 °
1. Split the corner in half, because each of the two pieces takes half
  $\frac{130}{2}$ $= 65 °$
2. Take that half from 90° to get the saw setting, because the saw's scale reads 0° for a square cut
  $90 - 65$ $= 25 °$
9. Saw miter setting: 34 °
1. Split the corner in half, because each of the two pieces takes half
  $\frac{112}{2}$ $= 56 °$
2. Take that half from 90° to get the saw setting, because the saw's scale reads 0° for a square cut
  $90 - 56$ $= 34 °$
10. Saw miter setting: 42.5 °
1. Split the corner in half, because each of the two pieces takes half
  $\frac{95}{2}$ $= 47.5 °$
2. Take that half from 90° to get the saw setting, because the saw's scale reads 0° for a square cut
  $90 - 47.5$ $= 42.5 °$