Question

find Angle ABD also find Angle ABC if angle C = 3 angle ABC​

Answer 1

Answer:

3AngleB+ AngleB+ AngleA=180

4AngleB+ AngleA=180

If 3AngleB=2AngleA+2AngleB

So,2AngleA=3AngleB-2AngleB

=AngleB

So,2AngleA=AngleB

So,AngleA=1/2AngleB,Subtitling in equation

3AngleB+ AngleB+ AngleA=180

So, 3AngleB+ AngleB+1/2AngleB=180(asAngleA=1/2AngleB)

So,4AngleB+1/2AngleB=180, so,AngleB=360/9=40

AngleC=3AngleB=40×3=120,so,Angle A=180–120–40=20

So, AngleA=20,AngleB=40,AngleC=120