Question

if in traingle ABc,7 Ange A = 4,Angle B and 9 angle B= 7angle C,find angle A,Angle B,Angle C​

Answer 1

Answer:

<A = 36 degree

<B = 63 degree

<C = 81 degree

Step-by-step explanation:

7<A = 4<B

Therefore, <A = 4/7 <B -----------(1)

9<B = 7<C

<B = 7/9<C -----------(2)

(2) in (1) gives,

<A = 4/7 X 7/9 <C = 4/9 <C

<A + <B + <C = 180 (Angle Sum Property)

4/9 <C + 7/9 <C + <C = 180

11/9 <C + <C = 180

20/9 <C = 180

<C = (180X9)/20 = 9X9 = 81

<A = 4/9 <C = 4/9 X 81 = 36

<B = 7/9 <C = 7/9 X 81 = 63