Question

Find W:

(14w + 50)
35
(28w - 45)

Answer 1

`w=(95)/(14)`

Explanation:

Hello There!

The shown figure is a parallelogram

If you didn't know the opposite angles of parallelograms are congruent ∠A≅∠C and ∠B≅∠D

so we can set up an equation to solve for w

because ∠B≅∠D we use this equation

14w + 50 = 28w - 45

now we solve for w

step 1 add 45 to each side

-45+45 cancels out

50 + 45 = 95

now we have 14w + 95 = 28w

step 2 subtract each side by 14w

28w-14w=14w

now we have 14w = 95

step 3 divide each side by 14

14w/14=w

we're left with
`w=(95)/(14)`