MATH SOLVE

5 months ago

Q:
# Angle a =8x+6 Angle b= 4x+38Solve for x and find the measure of angle b

Accepted Solution

A:

Answer:[tex]Angle\ b= 70\°[/tex]Step-by-step explanation:The correct question isAngle a and angle b are vertical anglesAngle a =8x+6Angle b= 4x+38Solve for x and find the measure of angle bwe know thatVertical Angles are the angles opposite each other when two lines cross. They are always congruent.m∠a=m∠b -----> by vertical anglessubstitute 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]