How do i find measurements of angle 1-5?

∠1 + 52° = 180° (Opposite angles are supplementary)

=> ∠1 = 180° - 52°

=> ∠1 =  128°

∠2 = 52° (Alternate interior angles)

∠3 = 47° (Alternate interior angles)

∠4 = 180° - ∠3 (Supplementary angles)

=> ∠4 = 180° - 47°

=> ∠4 = 133°

∠5 = 180° - (52° + 47°) (Supplementary angles)

=> ∠5 = 180° - 99°

=> ∠5 = 81°

i believe the answer to be 48

step-by-step explanation:

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.