Answer:
Angles are 100° and 80°
Step-by-step explanation:
The Sum of angles on a line are 180°
We have two angle on the line i.e
Obtuse angle=[tex](10x-20)[/tex]° and
Acute angle =[tex](6x+8)[/tex]°
So
[tex](10x-20)+(6x+8)=180\\10x-20+6x+8=180\\16x-12=180\\16x=180+12\\16x=192\\x=\frac{192}{16}\\\\ x=12[/tex]
Putting the value of 'x' in both the angles
Obtuse angle = [tex](10x-20)[/tex]° = 10(12)-20= 100°
Acute angle= [tex](6x+8)[/tex]° = 6(12)+8= 80°
