A,Band C are the angles of a triangle if A-B= 15 degree and B-C= 30 degree find angle A,B,C
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Answer:
angle A=A, angle B=B, angle C=C
given,
A-B=15°→A=15+B
B-C=30°→C=B-30
by angle sum property of triangle
A+B+C=180°
B+(15+B)+(B-30)=180
3B-15=180
3B=180+15
B=195/3
B=65°
So,
A=65+15=80°
B=65°
C=65-30=35°
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given A-B=15.
B-C=30
then A=15+B
B=30+C
ΔA+Δb+Δc=180
15+B+30+c+c=180
45 + 2c+B =180
45+2c+30+c=180
75+3c =180
3c=180-75
3c=105
c=105/3
therefore we get angle c=35
then
angle B= 30+c
B=30+35
B=65
angle A=15+B
A=15+65
A=80
there fore three angles are 80,65.35
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