MHB Find Rhombus Angles: 360º & 22º30

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The angle between the diagonal and the side of the rhombus is 22º30’. The interior angles of a rhombus total 360º, with opposing angles being congruent. The calculations show that angle B is 45º, derived from doubling 22º30’. Consequently, angles C and E are both 135º, confirming the angle relationships in the rhombus. The calculations are correct, validating the findings.
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The angle between the diagonal and the side of the rhombus is 22º30’. Find rhombus angles.
Rhombus interior angles are 360º that much I know, but how do I find out the other angles?
 
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Just remember that by definition, a rhombus is always going to be congruent on opposing sides of each diagonal. See if this helps you get started...

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B=22º30’*2=45º
B=45º
D=45º

45º+C=180º
C=135º
E=135º

Did I do it right?
 
Joostrea said:
B=22º30’*2=45º
B=45º
D=45º

45º+C=180º
C=135º
E=135º

Did I do it right?

Yup. Good job : )
 

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