Question

the ratio of angle trangle is 1:2:2find the measure of each angle​

Answer 1

Answer:

X+2x+2x = 180

= 5x= 180

X= 180/5

= 36

So,

first angle is 36, second angle is 72, and third angle is 72.

Step-by-step explanation:

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Answer 2

Question :-

• The ratio of the angles of a triangle is 1 : 2 : 2. Find the measure of each angle.

Answer :-

• The angles are 36°, 72° and 72°.

Given :-

• The ratio of the angles of a triangle is 1 : 2 : 2.

To find :-

• The measure of each angle.

Step-by-step explanation :-

In this question, it is given that the angles of a triangle are in the ratio 1 : 2 : 2. We have to find the value of each angle.

Therefore, let's take the angles as x, 2x and 2x.

We know that :-

Sum of all the angles of a triangle = 180°.

So, all these angles must add up to 180°.

That means, x + 2x + 2x must be equal to 180°.

Therefore, we get :-

$\sf x + 2x + 2x = 180^{\circ}$

Adding 2x and 2x,

$\sf x + 4x = 180^{\circ}$

Adding x to 4x,

$\sf5x = 180^{\circ}$

Transposing 180° from LHS to RHS, changing it's sign from (×) to (÷),

$\sf x = \dfrac{180^{\circ}}{5}$

Dividing 180° by 5,

$\sf x = 36^{\circ}.$

The value of x is 36°.

Therefore, the value of all the angles are as follows :-

$\sf x = 36^{\circ}.$

$\sf2x = 2 \times 36^{\circ} = 72^{\circ}$

$\sf2x = 2 \times 36^{\circ} = 72^{\circ}$

Thus, the angles are 36°, 72° and 72°.