Angle A and angle B are complementary angles. If m angle A = (4x – 28)° And angle B = (x - 2)°, then find the measure of A.

m angle A = 68deg

Step-by-step explanation:

Since they're complementary, they add up to 90deg

you solve this by first finding x

(4x-28) + (x-2) = 90 >> add the left side

5x-30 = 90              >> add 30 from both sides

5x = 120                    >> divide by 5 on both side to get x alone

x = 24

now you know x is 24, you substitute it in m<A since you're finding the measure of it

(4(24) - 28)

96 - 28

68

you can check by finding the value of m<B (22deg) and adding it to m<A and it will equal to 90deg

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'.