Question

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

Answer 1

Opposite angles in a paralleogram are equal

• 5y+9=74
• 5y=65
• y=13

And Consecutive angels have sum 180

• x+7+74=180
• x=180-81
• x=109

And

• z-10=109+7
• z-10=116
• z=126

Answer 2

Explanation:

For a rhombus, the opposite angles are equal:

74=5y+9

5y=65

y=13

For a rhombus, the adjacent angles are supplementary:

74+(z-10)=180

z-10=106

z=116

74+(x+7)=180

x+7=106

x=99