Answer:
10 degrees and 12 degrees
Step-by-step explanation:
The first step is to establish the measure of the sum of the other two degrees and since the sum of all angles in a quadrilateral is 360 degrees we find:
360-238-100=22 and since the ratio of the two angles is 5:6 we can split 22 into 5 and 6 pieces of equal measure (their measure will be represented as x) to find: 5x+6x=22; 11x=22; x=2
And to find the measures: Measure of angle one (the smaller angle) is 5*2=10
Measure of angle two (the larger angle): 6*2=12
And to check the answer check that:
10/12=5/6 (checking the ratio); 10+12+238+100=360 (checking if it is a quadrilateral)
