Question

if (3x-5)degrees and (2x+25) degrees are supplementary angles then the greater angle is​

Answer 1

Supplementary angles are angles that add up to 180 degrees.

So, (3x-5) and (2x+25) are supplementary angles.

We can write,

• (3x-5)+(2x+25) = 180°

• 3x+2x+25-5= 180

• 5x+20= 180

• 5x=180-20

• 5x= 160

• x= 160/5

• x= 32°

So, the value of 'x' is 32°.

Let's find the angles,

First angle,

• (3x-5) = (3×32)-5
• 96-5= 91°

second angle,

• (2x+25) = (2×32)+25
• 64+25= 89°

We can see the greater angle is 91°.

Hope it helps you...