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Rhombuses

Question 2

Use the properties of a rhombus to find the values of \(x\), \(y\), α and β in the diagrams below.

a Parallelogram ABCD with AB = x cm, AD = y cm and AB = AD, DC = 9 cm.
i cm check answer for question 2a_tab3i.
ii cm check answer for question 2a_tab3ii.
b Parallelogram EFGH with EH = HG. Angle E = alpha, Angle F = beta and Angle G = 70 degree
i ° check answer for question 2b_tab3i.
ii ° check answer for question 2b_tab3ii.
c Parallelogram JKLM with LM = MJ. Diagonals meet to form adjacent angles alpha and beta.
i ° check answer for question 2c_tab3i.
ii ° check answer for question 2c_tab3ii_.