Question

Given the parallelogram below, what is the value of a?2aRsUTЗа - 5a= fill in blank

Answer 1

a = 5

Explanation:

In a parallelogram, opposite sides are equal.

UT = RS

3a - 5 = 2a

Add 5 to both sides,

3a = 2a + 5

Subtract 2a from both sides,

3a -2a = 5

`\sf \boxed{a = 5}`

Answer 2

we have:

`\begin{gathered} 2a=3a-5 \\ \end{gathered}`

then solve for a

`\begin{gathered} 2a-3a=3a-5-3a \\ -a=-5 \\ -(a)/(-1)=-(5)/(-1) \\ a=5 \end{gathered}`

answer: a = 5