Answer:
Step-by-step explanation:
<A and <B are alternate interior angles.
So, <A = <B
plugging the values
[tex]8x - 10 = 3x + 90[/tex]
Move variable to L.H.S and change it's sign.
Similarly, Move constant to R.H.S and change it's sign
[tex]8x - 3x = 90 + 10[/tex]
Collect like terms
[tex]5x = 90 + 10[/tex]
Calculate the sum
[tex]5x = 100[/tex]
Divide both sides of the equation by 5
[tex] \frac{5x}{5} = \frac{100}{5} [/tex]
Calculate
[tex]x = 20[/tex]
Now, Let's find the measure of <B
[tex] < b = 3x + 90[/tex]
Plugging the value of X
[tex] = 3 \times 20 + 90[/tex]
Calculate the product
[tex] = 60 + 90[/tex]
Calculate the sum
[tex] =150[/tex]
Hope this helps...
Best regards!!
