One angle of a triangle measures 110°. The other two angles are in a ratio of 3:4. What are the measures of those two angles?

Answer 1

One angle measures 110° means that, since all 3 angles add to 180°, then the other 2 angles add up to 70°. The other 2 angles are in a ratio of 3:4 means that they have 3x and 4x as their measures. Therefore, we have the following: 3x + 4x = 70°, so 7x = 70°, so x = 10°, so 1 of the other 2 angles is 3x = 3 * 10° = 30°, and the other is 4x = 4 * 10° = 40°.

Answer 2

Here's another approach to split the remaining 70° in a 3:4 ratio. 3 + 4 = 7

so can split the angle into two parts: 3/7 and 4/7.

3/7 x 70 = 30° 4/7 x 70 = 40°.