Question

find the value of each variable in the parallelogram. round your answers to the nearest tenth, if necessary

a =

b =

need help?

Explanation:

Step1: Use property of parallelogram (opposite sides equal) for side \(a\)

In a parallelogram, opposite sides are equal. So, \(TS = VW\). That is, \(a + 15 = 3a + 11\).
Subtract \(a\) from both sides: \(15 = 2a + 11\).
Subtract 11 from both sides: \(4 = 2a\).
Divide both sides by 2: \(a = 2\).

Step2: Use property of parallelogram (opposite sides equal) for side \(b\)

Also, \(TV = SW\). So, \(3b + 5 = b + 11\).
Subtract \(b\) from both sides: \(2b + 5 = 11\).
Subtract 5 from both sides: \(2b = 6\).
Divide both sides by 2: \(b = 3\).

Answer:

\(a = 2\), \(b = 3\)