MATH SOLVE

3 months ago

Q:
# Solve for x,y, and z

Accepted Solution

A:

Answer:Step-by-step explanation:8x + 13y + 7 = 180 {Linear pair}8x + 13y = 180 - 78x + 13y =173 -------------------(I)9x - 7 + 13y + 7 = 180 {linear pair}9x + 13y = 180 ----------------(II)Multiply equation by (-1) and then add with equation (II). And thus y will be eliminated.(I)* (-1) -8x - 13y = -173(II) 9x + 13y = 180 {Now add} x = 7 Plug in x = 7 in equation (I)8*7 + 13y = 17356 + 13y = 173 13y = 173 - 56 13y = 117 y = 117/13 y = 95y - 11 + z + 8x = 180 {Straight line angles}5*9 - 11 + z + 8*7 = 18045 - 11 + z + 56 = 180 z + 90 = 180 z = 180 - 90z = 90