Question

Solve for x then solve for b

Answer 1

Answer:

x= 6 and b= 126°

Step-by-step explanation:

okay the first step to solving this is understanding what are the properties of ∠A and ∠B.

so the angles are equal to each other because they are alternate interior angles.

if that is settled it means the equation for both angles would be equal to each other as well.

∠A= 8x + 78°  ∠B= 2x + 114°

therefore: 8x + 78= 2x + 114

                 then solve for x:

• isolate x and the answer is equal to 6 at the end

now you are looking for angle b, so you input x which is 6 into the equation;

• ∠B= 2x + 114°

    = 2(6) + 114°

    =12 + 114°

    =126°

Answer 2

Step-by-step explanation:

A and B are alternate angles , thus :

A = B

8x + 78⁰ = 2x + 114⁰

6x = 36

x = 6

B = 2(6) + 114 = 126⁰