The angles labelled are similar, and therefore, they are equal. Hence, we get the equation
[tex]6x+20=8x[/tex]
subtracting 6x from both sides gives
[tex]20=2x[/tex]
finally, dividing both sides by 2 gives
[tex]x=10.[/tex]
With the value of x in hand, we now find the measure of the labelled angles.
The first angle measures
[tex](6x+20)^o=(6(10)+20)=80^o^{}^{}^{}[/tex]
the second angle measures the same:
[tex]8(10)=80^o[/tex]
