Find measure of angle if it is 20 more than 4 times its supplement

Hello!

Supplementary angles add up to 180. This gives us the system of equations below.

a+b=180

b= 4a+20

Now we plug our b value into the first equation and solve for a.

a+4a+20=180

We combine like terms.

5a+20=180

We subtract 20 from both sides.

5a=160

We divide both sides by 5.

a=32

Now we want to find our angle b. We can plug our a value into the equation.

b=4(32)+20

128+20=148

Therefore, our angle measure is 148°.

I hope this helps!

7. 153.86 ft

8. 12.56 ft

9. 78.5 m

10. 379.94 in

11. 132.665 m

12. 12.56 yd

13. 226.865 ft

14. 113.04 ft

15. 63.585 ft

16. 254.34 m

17. 50.24 cm

step-by-step explanation:

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1 x=22.52

2: 65/39=604+39x

65x-39x=604

26x=604

x=604/26

×=23.23