Question

There's an angle that is 180 degrees, with 2 angles making the first angle. If the first angle is 3 times the second angle, what is the measurement of the first angle?

Answer 1

Okay, so let the 2nd angle be just x.  Then the first angle is 2x, since it is twice the measure of the second angle (2 times x), and the 3rd angle is 96 + x, since it is 96 MORE (addition) than the 2nd angle.  So our 3 angles are: Angle 1: 2xAngle 2: xAngle 3: 96 + x We know that all 3 angles in a triangle add up to be 180.  So we can add these 3 angles together and set it equal to 180.  2x + x + (96 + x) = 1803x + 96 + x = 1804x + 96 = 1804x = 84x = 21 Now we can plug x = 21 back into our 3 angles from earlier getting: Angle 1: 2(21) = 42Angle 2: 21Angle 3: 96 + 21 = 117 If you add all 3 of these up, you'll see that they equal 180.