A triangle has an angle that measures 135°. The other two angles are in a ratio of 2:7. What are the measures of those two angles?

Answer 1

180-135 = 45 degrees for sum of the other two angles

2/9 x 45 = 10 degrees for one angle

45-10 = 35 degrees for the other angle

10+35+135=180 degrees for the 3 angles. the sum of the 3 angles of any triangle always add to 180

35 = 7/9 x 45 = 35

If the two angles are in a ratio of 2:7 then one is 2/(2+7) of 45 = (2/9)(45) = 10

and the other is 7/(2+7) = 7/9 of 45 = (7/9)(45 = 35