Question

In triangle ABC, angle A= angle B/2= angle C/6, then the measure of angle A is ..................

Answer 1

Answer:angle A =20°

Angle B = 40°

Step-by-step explanation:the answer given above is completely correct...pls go through it

Answer 2

The measures of ∠A = 20°.

Given:

Angle A = angle B/2 = angle C/6.

To Find:

The measure of angle A.

Solution:

Here, it is given that the $\angle A=\angle \frac{B}{2} =\angle \frac{C}{6}$.

Let's suppose that $\angle A=x$.

$\angle B=2x$

and,

$\angle C=6x$.

Now, by applying the angle sum property of the triangle.

That is,

$\angle A+\angle B+\angle C=180^{o}$

We get,

$x+2x+6x=180^{o}$

now, after calculating the above equation.

we get,

$9x=180\\x=20$

so, $\angle A=20^{o}$

$\angle B=2\times 20=40^{o}$

and,

$\angle C=6\times 20=120^{o}$.

Hence, the measure of ∠A = 20°.

                                                                                               #SPJ2