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3 votes
Hey if anybody wouldn't mind could you solve this for me and show me how you did it I would really appreciate it, thanks

Hey if anybody wouldn't mind could you solve this for me and show me how you did it-example-1
User Egle
by
7.7k points

2 Answers

3 votes
Since we know these angles are supplementary (add to 180) because they are on a straight line, we can add them together, set that to 180 and solve for x

5x+20+3x-8=180 (combine like terms)
8x+12=180 (subtract 12 from both sides)
8x=168 (divide both sides by 8)
X=21

Then we can find both angles

Angle 1:
5(21)+20
105+20
=125

Angle 2:
3(21)-8
63-8
=55

Hope this helps
User Nisarg Shah
by
7.9k points
3 votes
Answer:

Angle 1: 125 degrees
Angle 2: 55 Degrees

Work:

(5x+20)+(3x-8)=180
8x+20-8=180
8x-12=180
-12. -12
-----------------
8x=168
---- ----
8. 8

x= 21

Angle 1:
5x21 + 20
105+20
125

Angle 2:
3x21 - 8
63 - 8
55
User Andrew Skirrow
by
8.1k points

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