## The measure of three angles of a triangle are in the ratio 5 : 4 : 3. Find the measure of each angle. Show your solution

Question

The measure of three angles of a triangle are in the ratio 5 : 4 : 3. Find the measure of each angle. Show your solution

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Mathematics
5 months
2021-07-24T13:26:30+00:00
2021-07-24T13:26:30+00:00 2 Answers
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## Answers ( )

75, 60, 45

Step-by-step explanation:Let the angles be 5x, 4x, 3x.

Using Angle Sum Property,

5x+4x+3x = 180

12x = 180

x = 15

Angles are 5x = 5(15) = 75

4x = 4(15) = 60

3x = 3(15) = 45

Answer:75°, 60° , 45°

Step-by-step explanation:The sum of all 3 angles is 180°.

So, 1st angle is (180×5)/12= 75°

2nd angle is (180×4)/12=60°

3rd angle is (180×3)/12=45°

75:60:45=5:4:3