Question

Im having trouble finding x and y for 1. Any help is appreciated:D

Answer 1

4x+6y+9x+y+1=180 [st.line]

or,13x+7y=179

or,X=(179-7y)/13---(1)

Similarly,

11x+6+fourth angle of quadrilateral=180

or, fourth angle of quadrilateral=174-11x

Now,

Sum of four angles of quadrilateral=360

or,8x+6y+2+9x+y+1+10y+4+174-11x=360

or,6x+16y+177=360

or,6x+16y=183

or,6(179-7y)/13+16y=183[from eqn(1)]

or,6(179-7y)+16×13y=183×13

or,6×179-42y+208y=183×13

or,166y=182×13-6×179

or,y=(182×13-6×179)/166

:.y=------[calculate yourself]

then, putting value of y in eqn (1),we get

X=-----