Since it's a rhombus that's divided into 2 triangles you can focus on the tingle that has the 6x , on the corner you will see that the right angle is cut in half making it 45 because half of 90 is 45.

now since a triangle is equal to 180 write the equation 180= 6x + 3x/2 + 45.

than do 180-45 to get 135

rewrite the question to be 135= 6x+3x/2

now add the 6x + 3x/2 to simplify it the answer would be 15x/2

now rewrite the equation to be 135=15x/2

to make it simple multiply it by 2 to.... this helps to get rid of the remainder

the equation should be 270= 15x

now simply do 270÷15 to get x=18

now that you found x do 18× 6 to get 108

and because 6x is congruent to y that means y is equal to 108 there for y is 108.

(teachers like if you do this tedious check work)

if you want to check the answer this plug in x for the right side of the rhombus.

as we know one angle is 45 and the other is 108

108+ 45 which equals 153

than do 3(18) to get 54

now divide 54 by 2 to get 27

than do 27 + 153 to get 180.... that's how you know it's right.

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3 years ago