Question

Find the value of each variable. PLEASE ANSWER ASAP DUE IN 1 HOUR

Answer 1

x = 36 , 2x = 72 , 3x = 108 , 4x = 144

Explanation:

2x = P+Q (ΔABC, exterior angle property)

4x = R+S (ΔDBC, exterior angle property)

4x + 2x = P+Q+R+S = (P+R) + (Q+S) = (180 - 3x) + (180 -x) (supplementary)

6x = 360 - 4x

10x = 360

x = 36

2x = 72

3x = 108

4x = 144

check: sum of interior angles = (180 x 4) - (36+72+108+144) = 360