Question

6.
a=

b=

x=

y=

Explanation:

Step1: Use the property of parallelogram (opposite sides are equal)

In a parallelogram, opposite sides are equal. So, \(a = 6\) and \(b = 5\).

Step2: Calculate \(x\)

In a triangle, the sum of angles is \(180^{\circ}\). For the triangle with angles \(74^{\circ}\), \(60^{\circ}\), and \(x\), we have \(x=180-(74 + 60)\).

$$x=180 - 134=46$$

Step3: Calculate \(y\)

In a parallelogram, consecutive angles are supplementary. Also, \(y\) is equal to the angle adjacent to \(74^{\circ}\) in the parallelogram. Since \(y\) and \(74^{\circ}\) are consecutive angles in a parallelogram (or using the property of alternate - interior angles in a parallelogram), \(y = 74^{\circ}\)

Answer:

\(a = 6\), \(b = 5\), \(x = 46\), \(y = 74\)