Question

Angle A and angle B are supplementary angles. If
angle B is 30° more than four times angle A, find
angle A and angle B.​

Answer 1

Answer:

Angle A is 30

Angle B is 150

Step-by-step explanation:

So we have the supplementary angles A and B. In other words:

$A+B=180$

We are also told that Angle B is 30 more than four times Angle A. In an equation, this is:

$B=30+4A$

We now have a system of equations. Solve by substitution of B into the first equation:

$A+B=180$

$A+(30+4A)=180$

Combine like terms:

$5A+30=180$

Subtract 30:

$5A=150$

Divide by 5:

$A=30$

So, Angle A is 30 degrees.

And since the angles are supplementary, this means that Angle B is 180 minus 30 or 150 degrees.