Question

2. If ∠A and ∠B are supplementary and ∠A = 4x – 8 and ∠B = 2x +2, what is the value of x?

A. 43
B. 22
C. 180
D. 31

Answer 1

Option D is correct

The value of x is, 31 degree

Explanation:

Supplementary Angles:

Tow angles are supplementary when they are add up to 180 degree.

As per the statement:

If ∠A and ∠B are supplementary and

`\angle A = 4x-8` and

`\angle B = 2x+2`

By definition of supplementary angle:

⇒
`\angle A+ \angle B = 180^(\circ)`

Substitute the given values we have;

`4x-8+2x+2 = 180^(\circ)`

Combine like terms;

`6x-6 = 180^(\circ)`

Add 6 to both sides we have;

`6x = 186^(\circ)`

Divide both sides by 6 we have;

`x= 31^(\circ)`

Therefore, the value of x is, 31 degree.

Answer 2

The value of x is 31 .

Option (D) is correct .

Explanation:

As given

If ∠A and ∠B are supplementary and ∠A = 4x – 8 and ∠B = 2x +2 .

Thus

∠A + ∠B = 180 °

4x - 8 + 2x+ 2 = 180

6x - 6 = 180

6x = 180 + 6

6x = 186

`x = (186)/(6)`

x = 31

Therefore the value of x is 31 .

Option (D) is correct .