(a) An angle measures 50°. What is the measure of its complement? (b) angle measures 32°. What is the measure of its supplement?​

a) 40 degrees b) 148 degrees

Step-by-step explanation:

a) Complementary angles are angles that in total measure 90 degrees, or form a right angle. If one angle is 50 degrees, then 90 - 50 = 40, meaning the measure of its complement will be 40 degrees.

b) Supplementary angles are similar but in total measure 180 degrees, or form a straight angle. If one angle measures 32 degrees, then 180 - 32 is equal to 148, meaning the measure of its supplement will be 148 degrees.

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'.