Trig graphing problem

[ermandfa]

Hello My math problem says this:Given the points A(0.0), B(4,3) and C(2,9) what is the measurement of angle ABC?

The problem is I don't know how to figure out the lengths of the sides to begin to find the angles. When i attempted it I thought i had done it correctly but the sum of all the angles wasn't close to 180 degrees so im assuming I did something wrong.

 

[Bob Brown MSEE]

Trick

Hello My math problem says this:Given the points A(0.0), B(4,3) and C(2,9) what is the measurement of angle ABC?

The problem is I don't know how to figure out the lengths of the sides to begin to find the angles. When i attempted it I thought i had done it correctly but the sum of all the angles wasn't close to 180 degrees so im assuming I did something wrong.

Use two right triangles 3,4,5 and 6,2,CB

Use inverse sine

 

[ermandfa]

ah thank you this makes so much more sense.