3 years ago

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

Mathematics

1 answer:

Savatey [412]3 years ago

3 0

Answer:

$Angle\ b= 70\°$

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

$(8x+6)\°=(4x+38)\°$

solve for x

$8x-4x=38-6$

$4x=32$

$x=8$

Find the measure of angle b

$Angle\ b= (4x+38)\°$

substitute the value of x

$Angle\ b= (4(8)+38)\°$

$Angle\ b= 70\°$

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