Question

8. In a triangle ABC, if 2 A = 3 B = 6 C, then the measure of B is in terms of angle c​

Answer 1

Answer:

MEDIUM

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ANSWER

Let all the angles be x.

∠A=

2

x

,∠B=

3

x

,∠C=

6

x

So,

2

x

+

3

x

+

6

x

=180° [sum of all the angles of triangle is 180°]

12

6x+4x+2x

=180°

12

12x

=180°

x=180°

∠A=

2

x

=

2

180°

=90°

∠B=

2

x

=

3

180°

=60°

∠C=

6

x

=

6

180°

=30°