One angle of a triangle measures 35°. The other two angles are in a ratio of 9:20. What are the measures of those two angles?

Question

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Answer 1

Since there are 180° in a triangle, there are 180-35 = 145° in these 2 angles.

Using the ratios:

One angle is 9x

The other angle is 20x

The equation is:

9x+20x=145 Combine like terms

29x=145 Divide both sides by 29

x=5

The angles would be

9(5)=45°

20(5)=100°