Question

one angle of a triangle measures 125 degrees the other two angles are in a ratio of 4:7. what are the measures of the two angles

Answer 1

Angles in a triangle add up to 180 degrees.
180 - 125 = 55
Add the ratios 4+7 = 11
Divide the left over angels by the ratio: 55/11 = 5
Now multiply 5 by each side of the ratio:
4:7
4*5 = 20
7*5 = 35

So the 2 angles are 20 and 35 degrees.

To check, you can add up all the angels : 20 + 35 + 125 = 180
So we know 20 and 35 is correct because it adds up to 180 degrees :)