If angle A is (2x+8) degrees and Angle B is (2x+8) and A and B are supplementary angleswhat is measurement of angle B?

The measurement of angle B is 90°

Step-by-step explanation:

Solve for x.

Since angle A and angle B are supplementary, they both add up to 180°.

So,

(2x + 8) + (2x + 8) = 180°

2x + 8 + 2x + 8 = 180°

4x + 16 = 180°

4x = 180° - 16

4x = 164°

x = 164 ÷ 4

x = 41

Now substitute the x value to angle B.

∠B = 2x + 8

∠B = 2(41) + 8

∠B = 82 + 8

∠B = 90°

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'.