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Solve for x and then find the measure of

Solve for x and then find the measure of-example-1
User Sergio Tx
by
3.4k points

2 Answers

1 vote
the answer should be 150
User Futu
by
4.0k points
3 votes

Answer:

150°

Explanation:

<A and <B are alternate interior angles.

So, <A = <B

plugging the values


8x - 10 = 3x + 90

Move variable to L.H.S and change it's sign.

Similarly, Move constant to R.H.S and change it's sign


8x - 3x = 90 + 10

Collect like terms


5x = 90 + 10

Calculate the sum


5x = 100

Divide both sides of the equation by 5


(5x)/(5) = (100)/(5)

Calculate


x = 20

Now, Let's find the measure of <B


< b = 3x + 90

Plugging the value of X


= 3 * 20 + 90

Calculate the product


= 60 + 90

Calculate the sum


=150

Hope this helps...

Best regards!!

User Frederik Bode
by
3.3k points