Question

if in a triangle abc angle A = 2 pi by 6 and b is to C equals to 2 is to 3 find Angle B​

Answer 1

Answer:

please refer to the attachment

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Answer 2

$\angle B=\frac{\pi}{6}$

Step-by-step explanation:

given : $\angle A = \frac{2\pi}{6}= \frac{\pi}{3}$

and

A:C = 2:3

thus , $\angle C = \frac{\pi}{2}$

we know that the sum of the angle of the triangle is supplementary

therefore ,

$\angle A + \angle B + \angle C = 180^\circ \\\\\angle A + \angle B + \angle C = \pi \\\\\frac{\pi}{3}+ \angle B+ \frac{\pi}{2}= \pi \\\\\frac{5\pi}{6}+ \angle B = \pi \\\\\angle B= \pi - \frac{5\pi}{6}\\\\\angle B=\frac{\pi}{6}$

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