Answer:
[tex]Angle\ b= 70\°[/tex]
Step-by-step explanation:
The correct question is
Angle a and angle b are vertical angles
Angle a =8x+6
Angle b= 4x+38
Solve for x and find the measure of angle b
we know that
Vertical Angles are the angles opposite each other when two lines cross. They are always congruent.
m∠a=m∠b -----> by vertical angles
substitute the given values
[tex](8x+6)\°=(4x+38)\°[/tex]
solve for x
[tex]8x-4x=38-6[/tex]
[tex]4x=32[/tex]
[tex]x=8[/tex]
Find the measure of angle b
[tex]Angle\ b= (4x+38)\°[/tex]
substitute the value of x
[tex]Angle\ b= (4(8)+38)\°[/tex]
[tex]Angle\ b= 70\°[/tex]
