Question

The sum of two adjacent angle is 135 degree and the angles are in ratio 2 ratio 3 find the angles

Answer 1

Let's assume one adjacent ∠ as 2x°

So, the other adjacent ∠ as 3x°

According to Question,

Sum of Adjacent ∠s = 135°

2x + 3x = 135

⇒ 5x = 135

⇒ x = 135 / 5

⇒ x = 27

Required Adjacent ∠s -

One ∠ = 2x° = 2(27)° = 54°

Another ∠ = 3x° = 3(27)° = 81°

Hence, the required adjacent ∠s are 54° and 81°

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Answer 2

We are given enough details so that we can find our answer :)

Sum of the adjacent angles = 135°

Ratio of these adjacent angles = 2 : 3

In most cases when you are given the ratio of two quantities and their sum then first step is to assume the quantities a product of variable and the ratio.

Therefore,
The adjacent angles will be as follows, 2x and 3x.

Their sum = 135°
2x + 3x = 135°
5x = 135°
x = 135° / 5
x = 27°

So,
The adjacent angles = 2x and 3x OR 2 * 27 and 3 * 27 OR 54 and 81