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.

Angle A is 30

Angle B is 150

Step-by-step explanation:

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

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

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

Combine like terms:

Subtract 30:

Divide by 5:

So, Angle A is 30 degrees.

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

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explanation: