Question

in a triangle ABC,if 2angle A =3 angle B= 6angleC ,then the measure of angle B is​

Answer 1

Answer:

measure of angle B is 49.09

Step-by-step explanation:

if 2angle A =3 angle B= 6angleC

then the ratios are 2:3:6.

So, let angles be, 2x+3x+6x

now , the sum of the interior angles of a triangle is 180°.

So, 2x+3x+6x=180°

= 11x = 180°

= x = 180°/11

= x = 16.36...

now, in question it is asked that what is the measure of angle B.

So, angle B is equal to 2x.

So, 3x = 3×16.36...

=3x = 49.09...

so measure of angle B is 49.09...