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

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

1. 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

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2. 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

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