Question

find a pair of supplementary angles which are in a ratio of 2:3​

Answer 1

Answer:

Here is your answer

Step-by-step explanation:

Let the angle be x

Then 2x+ 3x= 180

5x=180

x= 36

So the angle are 72 and 108

Answer 2

Question :

Find a pair of supplementary angles which are in a ratio of 2:3​

Given :

The given angles are supplementary and are in the ratio 2:3

To Find:

To find the pair of supplementary angles

Figure :

$\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\thicklines\put(5,1){\vector(1,0){4}}\put(5,1){\vector(-1,0){4}}\put(5,1){\vector(1,1){3}}}\put(4.5,1.3){ \sf 3x }\put(5.7,1.3){ \sf 2x }\end{picture}$

Solution :

Supplementary Angles means their sum is 180°

Let angle one be 2x and angle two be 3x

$2x + 3x = 180^{\circ} \textsf{(Supplementary Angles = }180^{\circ} ) \\\\\\5x = 180^{\circ}\\\\\\x=\frac{180}{5}\\\\\\x= 36$

$x=36^{\circ}$

$2x = 2(36)\\\\=72^{\circ}\\\\3x = 3(36)\\\\=108^{\circ}$

$\setlength{\unitlength}{1 cm}\begin{picture}(0,0)\thicklines\put(5,1){\vector(1,0){4}}\put(5,1){\vector(-1,0){4}}\put(5,1){\vector(1,1){3}}}\put(4.5,1.3){ \sf 108^{\circ} }\put(5.7,1.3){ \sf 72^{\circ} }\end{picture}$

Answer :

The angles are 72° and 108°

Be Brainly!