write the answer pls as the following figure is given
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Answer:
3x + 4x + 5x = 180°
12x = 180°
x= 180°/12
x = 15
Step-by-step explanation:
3x = 15×3 (x = 15) = 45°
4x = 15×4 = 60°
5x = 15×5 = 75°
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The angles of a triangle are in the ratio 3:4:5. Find the measures of all the angles of the triangles.
We know, sum of all angles in a triangle add up to 180°
Let the angles be 3x, 4x and 5x
➩ 3x + 4x + 5x = 180°
➩ 12x = 180°
➩ x = 180°/12
➩ x = 15
The angles are:
- 3x = 3 × 15 = 45
- 4x = 4 × 15 = 60
- 5x = 5 × 15 = 75
Therefore, the measures of the angles are 45°, 60° and 75°
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