Question

In the rhombus m1 = 10x, m2 = x + y, m3 = 18z. Find the value of each variable

Answer 1

I think the question is missing some details. I found a similar question with an image as i attached in this question.

From this image, it its clear that m1, m2 and m3 refers to the angles in the middle of the rhombus

Answer:

x = 9

y = 81

z = 5

Step-by-step explanation:

Note that in rhombus, all sides are the same. If the diagonal lines are made, it will create 4 division of angles of 90 degrees.

Therefore m1 = m2 = m3 = 90 degrees

m1 = 10x and m1 =90

So, 10x = 90. Rearrange it to get x = 90/10 = 9

x = 9

m2 = x + y and m2 = 90

So, x + y = 90

9 + y = 90

y = 90 - 9 = 81

m3 = 18z and m3 = 90

So, 18z = 90

z = 90/18 = 5