How do you find the numeric value of angle A and B for triangle ABC with C being the right angle given A=x and #B=x^2#?

Question

3404 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-10-14T12:58:34

Angle A measures #9˚# while angle B measures #81˚#.

The angles in any triangle always add up to #180˚#.

So,

#x^2 + x + 90 = 180#

#x^2 + x - 90 = 0#

Solve by factoring.

#(x + 10)(x - 9) = 0#

#x = -10 and 9#

A negative answer isn't possible, so the angles measure #9˚# and #9^2 = 81˚#.

Hopefully this helps!