Question

In the rhombus, angle 1 = 10x, angle 2 = x + y, and angle 3 = 15z. Find the value of each variable. 2 1​

Answer 1

The values of the variables x, y and z are; 9, 81 and 6 respectively

Rhombus Diagonals

According to the question;

• All sides of the Rhombus are equal.

Hence, the Diagonals of the Rhombus are perpendicular bisectors of each other.

Therefore,

Angles 1, 2 and 3 are all equal to 90°, so that we have;

• 10x = 90°

x = 9°

• x + y = 90, where x=9

• 9 + y = 90

y = 81°

• 15z = 90

z = 6°

Read more on Rhombus Diagonals;

brainly.com/question/20627264