Question

6. Angle C of a triangle ABC is the sum of the other two angles A and B. If the ratio of angles A and B is 3:2 find the three angles

Answer 1

The ratio of the two angles is
A:B = 2:3
Let A=3x and B= 2x
Sum of all angles of a triangle = 180°
Then,
2x +3x + C=180°
C = 180°-5x.... equation (1)
But , it is also given to us that C =A+B
C = 3x+2x
C = 5x.... equation (2)
Equating equation (1) and (2)
180°-5x =5x
180° = 10x
x = 18°
Angle A = 3×18°
= 54°
Angle B = 2×18°
= 34°
Angle C = 5×18°
= 90°
That's all...

Answer 2

Answer:

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