Math, asked by akashlimje02, 4 days ago

(a) If angles of a triangle are in the ratio 4 : 5: 6, the greatest angle of a triangle is:- 1 (a) 72° (b) 60° (c) 48° IP 1.0.1 (d) 50° Mh.
answer 72 degrees ​

Answers

Answered by ramk710
1

Answer:

ratio (given) = 4:5:6

so 4x+5x+6x=180

15x= 180

x= 180/15 = 12°

angles are 4(12)=48°

5(12)=60°

6(12)=72°

Therefore the greatest angle is 72° option (A)

Step-by-step explanation:

HOPE THIS HELPS YOU

Answered by kingofself
0

Answer:

The greatest angle of a triangle is 72°

Step-by-step explanation:

The sum of the angle of a triangle is 180°

∠A+∠B+∠C=180°

These three angles are in the ratio 4:5:6

The ratio will be 4x:5x:6x

4x+5x+6x=180°

15x=180°

x=180°÷15

x=12

Substitute the value of x in the ratio

4x=4(12)

4x=48

∠A=48°

5x=5(12)

5x=60

∠B=60°

6x=6(12)

6x=72

∠C=72°

∠A+∠B+∠C=180°

48°+60°+72°=180°

108°+72°=180°

180°=180°

LHS = RHS

Hence proved

∠A=48°

∠B=60°

∠C=72°

Comparing three angles ∠C is the greatest angle

The greatest angle of a triangle is 72°

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