Question

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

Answer 1

Explanation:

In Rhombus opposite angles are equal.

6x + 8 = 86

6x = 86 - 8 {Subtract 8 from both sides}

6x = 78

x = 78/6 {Divide both sides by 6}

x = 13

In rhombus adjacent angles are supplementary.

7y + 3 + 86 = 180

7y + 89 = 180

7y = 180 - 89 {Subtract 89 form both sides}

7y = 91

y = 91/7 {Divide both sides by 7}

y = 13

5z + 4 + 86 = 180

5z + 90 = 180

5z = 180 - 90 {Subtract 90 from both sides}

5z = 90

z = 90/5 {divide both sides by 5}

z = 18