Question

Solve for x and then find the measure of

Answer 1

The answer should be 150

Answer 2

Answer:

150°

Step-by-step 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

$\frac{5x}{5} = \frac{100}{5}$

Calculate

$x = 20$

Now, Let's find the measure of <B

$< b = 3x + 90$

Plugging the value of X

$= 3 \times 20 + 90$

Calculate the product

$= 60 + 90$

Calculate the sum

$=150$

Hope this helps...

Best regards!!