Question

in triangle abc,angleC=3angleB, angleC=2 (angleA + angleB),then the measure of angleB is​

Answer 1

Step-by-step explanation:

given

∆ABC,C°=3B°,

C°=2(A°+B°)

so, 3B°=2(A°+B°)

3B°=2A°+2B°

3B°-2B°= 2A°

2A°=B°

so, the measure of B°=2A°

Answer 2

Answer:

A+B+C=180 sum of all angle of triangle is 180

C=3B eq.1

C=2 (A+B) eq.2

from 1 and 2

3B=2 (A+B)

3B=2A+2B

B=2A

A=B/2

so,

A+B+C=180

B/2+B+3B=180

B+2B+6B/2=180

9B=360

B=360/9

B=40

the measure of angle B is 40degree

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