SOLUTION: A quadrilateral has two angles that measure 50� and 115�. The other two angles are in a ratio of 19:20. What are the measures of those two angles?

Question 1044402: A quadrilateral has two angles that measure 50� and 115�. The other two angles are in a ratio of 19:20. What are the measures of those two angles?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
"The other two angles are in a ratio of 19:20" means that the two other angles are 19x and 20x where x is some positive number.

The four angles of any quadrilateral always add to 360 degrees. Let's add them up and set that sum equal to 360 degrees. Then let's solve for x.

50+115+19x+20x = 360
165+39x = 360
165+39x-165 = 360-165
39x = 195
39x/39 = 195/39
x = 5

Using x = 5, we can determine the two missing angles now

19x = 19*5 = 95
20x = 20*5 = 100

The two missing angles are 95 degrees and 100 degrees

Take note how adding the four angles gives 50+115+95+100 = 360

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