Respuesta :
Answer:
The value of x is 31 .
Option (D) is correct .
Step-by-step 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
[tex]x = \frac{186}{6}[/tex]
x = 31
Therefore the value of x is 31 .
Option (D) is correct .
Answer:
Option D is correct
The value of x is, 31 degree
Step-by-step 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
[tex]\angle A = 4x-8[/tex] and
[tex]\angle B = 2x+2[/tex]
By definition of supplementary angle:
⇒[tex]\angle A+ \angle B = 180^{\circ}[/tex]
Substitute the given values we have;
[tex]4x-8+2x+2 = 180^{\circ}[/tex]
Combine like terms;
[tex]6x-6 = 180^{\circ}[/tex]
Add 6 to both sides we have;
[tex]6x = 186^{\circ}[/tex]
Divide both sides by 6 we have;
[tex]x= 31^{\circ}[/tex]
Therefore, the value of x is, 31 degree.
