Answer:KS=26
Step-by-step explanation:
First, we need to find MQ. To find that we would use the formula
MQ=1/2(NP+LR) due to the trapezoid midsegment Theroum.
We know that NP=8 and that LR=20 so we can replace that into
MQ=1/2(8+20). After we add them we can get MQ=1/2(28). Finally, we can get MQ=14
To find the measure of KS we know that LR=1/2(MQ+KS). We can substitute to find 20=1/2(14+KS). We can then multiply the 1/2 to both sides which would equal 40=14+KS. After that, we could subtract 14 which would get us the final answer of 26=KS.
