The important property of a rhombus to note is that a rhombus has all sides of equal length. Then:
Let the vertices be A, B, C, D; let the diagonal BD be the same length as the sides.
Consider the triangle ABD formed by two sides of the rhombus and the diagonal BD. As all sides are equal in length, it must be an equilateral triangle and thus each angle can be calculated, in particular angle BAD of the rhombus.
Consider the triangle BCD formed by the other two sides of the rhombus and the diagonal BD. The angle BCD of the rhombus can also be calculated as above.
For angles ABC and CDA of the rhombus, note that angle ABC is the same as the sum of angles ABD and DBC. and those angles can be calculated above; similarly for angle CDA.
A short cut that can be used is the property of a rhombus that opposite angles of a rhombus are equal which means once angle DAB has been calculate, BCD is then known. Then by subtracting the sum of these from 360o (the sum of the angles of a quadrilateral and a rhombus is an quadrilateral) and dividing the result by 2 will give the other two angles..
square or rhombus
A rhombus would fit the given description because it has 2 equal acute angles and 2 equal obtuse angles that all add up to 360 degrees
A rhombus would fit the given description because it has 4 equal sides with 2 equal acute angles and 2 equal obtuse angles.
A rhombus fits the given description
A rhombus would fit the given description which has 2 equal opposite acute angles and 2 equal opposite obtuse angles whereas the 4 angles add up to 360 degrees.
A square, a rhombus or s kite would fit the given description
square or rhombus
A rhombus would fit the given description.
A square fits the given description
A rhombus would fit the given description
A rhombus would fit the given description.
A rhombus would fit the given description.
A rhombus would fit the given description because it has 2 equal acute angles and 2 equal obtuse angles that all add up to 360 degrees
The answer depends on what information you do have about the rhombus. Assuming that you know the length of the sides and one of the diagonals, then,In the triangle formed by the given diagonal and the sides of the rhombus, you know all three sides. So you can use the cosine rule to calculate the angle between the sides of the rhombus.The other pair of angles in the rhombus are its supplement.So now you know two sides and the included angle of the triangle formed by the missing diagonal and the sides of the rhombus.You can use the cosine rule again to find the missing diagonal.
A rhombus would fit the given description because it has 4 equal sides with 2 equal acute angles and 2 equal obtuse angles.
It is a rhombus that would fit the given description
A rhombus fits the given description