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Parallelograms

Question 1

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

a Parallelogram ABCD with AD parallel to BC and AB parallel to DC. AD = 5 cm, AB = x cm. BC = y cm, CD = 3 cm.
i cm check answer for question 1a_tab3_i.
ii cm check answer for question 1a ii.
Parallelogram MNPQ with MN parallel to QP and MQ parallel to NP. Angle at Q = 120 degree. Angle at N is marked alpha.
b ° check answer for question 1b_tab3.
c Parallelogram ABCD with AD parallel to BC and AB parallel to DC.
Detailed description
i cm check answer for question 1c_tab3 i.
ii cm check answer for question 1c_tab3 ii.
Parallelogram JKLH with JK parallel to HL and JH parallel to KL. Angle at L is 120o Angle at H is alpha.
d ° check answer for question 1d_tab3.