Question

the sum of two angles is 5π° and their difference is 60°. find the angles in degrees.

Answer 1

x+y=5×22/7
x+y=110/7
x-y=60

adding both the equation
2x=(420+110)/7
2x=530/7
x=530/14
x=265/7

x+y=110/7
y=(110-265)/7
y=(155)/7

Answer 2

Answer:

Angles are 480° and 420°.

Step-by-step explanation:

Let the two angles be x and y

The sum of two angles is 5π°

$\pi = 180^{\circ}$

$5\pi = 180^{\circ}\times 5=900^{\circ}$

So, The sum of two angles is 900°

So, $x+y=900$ ---1

Their difference is 60°

So, $x-y=60$ ---2

Add 1 and 2

$x+y+x-y=900+60$

$2x=960$

$x=480^{\circ}$

Substitute the value of x in 1

$480+y=900$

$y=900-480$

$y=420^{\circ}$

Hence the angles are 480° and 420°.