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Question

If m<A=2x + 20 and m<B = x - 50, what are the values of the angels?

Answer 1

We need to know one more thing about the angles....

Are they equal? are they complementary? are they supplementary?

IF the angles are complementary they add up to 90.

So 2x+20 + x - 50 = 90

3x - 30 = 90

3x = 120

x = 40

But then A=2(40)+20 = 80+20=100 and B=40-50=-10, so I doubt they are complementary

If the angles are supplementary, they add up to 180.

So 2x+20 + x - 50 = 180

3x - 30 = 180

3x = 210

x= 70

But then A=2(70)+20 = 140 +20 = 160 and B = 70-50 = 20.

So yes, the CAN be supplementary:160 and 20

If they are equal, then 2x+20 = x-50

2x+20-x = -50

x +20 = -50

x = -70

But then A=2(-70)+20 = -140 + 20 = -120

and B = -70-50 = -120

I doubt they are equal

You don't get to negative angle measures until trig.

I bet they are supplementary:160 and 20