Question

Find the value of x, y, and z in the rhombus below.

Answer 1

Consecutive angles in a paralleogram have sum 180

`\\ \rm\rightarrowtail 5z+4+86=180`

`\\ \rm\rightarrowtail 5z+90=180`

`\\ \rm\rightarrowtail 5z=90`

`\\ \rm\rightarrowtail z=18`

And

• 7y+3+86=180
• 7y+89=180
• 7y=91
• y=13

And

opposite angles are equal

• 6x+8=86
• 6x=78
• x=13