Angles of a triangle are in the ratio 2:4:3. The smallest angle of the triangle is -Maths 9th

Angles of a triangle are in the ratio 2:4:3. The smallest angle of the triangle is -Maths 9th
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(b) Given, the ratio of angles of a triangle is 2 : 4 : 3. Let the angles of a triangle be ∠A, ∠B and ∠C. ∠A = 2x, ∠B = 4x ∠C = 3x , ∠A+∠B+ ∠C= 180° [sum of all the angles of a triangle is 180°] 2x + 4x + 3x = 180° 9x = 180° x=180°/9 =20° ∠A=2x=2 x 20° = 40° ∠B = 4x = 4 x 20° = 80° ∠C = 3x = 3 x 20° = 60° Hence, the smallest angle of a triangle is 40°.
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Angles of a triangle are in the ratio 2:4:3. The smallest angle of the triangle is -Maths 9th

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Last Answer : (b) Given, the ratio of angles of a triangle is 2 : 4 : 3. Let the angles of a triangle be ∠A, ∠B and ∠C. ∠A = 2x, ∠B = 4x ∠C = 3x , ∠A+∠B+ ∠C= 180° [sum of all the angles of a triangle is 180°] 2x ... ∠B = 4x = 4 x 20° = 80° ∠C = 3x = 3 x 20° = 60° Hence, the smallest angle of a triangle is 40°.

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