One angle is twice it’s supplement increased by 63°. Find the measures of the two supplementary angles

Answer 1

Things to know!!

1. One angle (x)
2. twice its supplement (2*(180-x))
3. increased by 60 (+60):

 

x = 2(180-x) + 60

x = 360 - 2x + 60

3x = 420

x = 140^o

 

The other angle is 180^o - x = 180^o - 140^o = 40^o

Answer 2

two supplementary angles add up to 180 degrees

if an angle = x

then its supplement is 180 - x

x = 2(180-x) + 63

x = 360 -2x + 63

3x = 423

x = 141

supplement = 39