Question

What does b equal i need help

Answer 1

Step-by-step explanation: If two parallel lines are cut by a transversal,

then same side interior angles are supplementary.

So in this problem, we know that m<A + m<B = 180°l.

~substitute

8x + 74 + 2x + 56 = 180

~simplify

10x + 130 = 180

10x = 50

x = 5

If we know that x = 5, we can use this information to find <b.

So we have 2(5) + 56 or 10 + 56 which is 66.

So x = 5 and m<B = 66°.

Answer 2

Note that ∠A + ∠B = 180°

Therefore:

(8x + 74°) + (2x + 56°) = 180°

Simplify:

10x + 130° = 180°

Subtract both sides by 130°:

10x = 50°

Divide both sides by 10:

x = 5

Plug x into ∠B:

∠B = 2(5) + 56° = 10 + 56° = 66°