Question

In triangleABC ZA= ZB/2= ZC/6
then the measure of ZA is
a)60°
b)30°
c) 40°
d) 20°​

Answer 1

Step-by-step explanation:

In a triangle ABC angle, C =3 angle B = 2 (angle A+angle B). What are the three angles?

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Let angle A = x

Angle B = y

As mentioned in the question angle C = 3 angle B = 3y

Angle C is also given as 2(Angle A + Angle B)

= 2(x+y)

So,

3y = 2(x+y)

y = 2x

So angle C = 3y = 6x

We know that sum of all the 3 angles in a triangle = 180deg

Therefore,

Angle A+ Angle B + Angle C = 180

x+ 2x+ 6x = 180

x = 20

Hence Angle A = 20

Angle B = 40

Angle C = 120