Question

Solve for x. each figure is a parallelogram
top left corner U
bottom left corner T
top right corner R
bottom right corner S
Top middle 2x+1
bottom middle 21
what is the answer
11
8
10
1

Answer 1

In a parallelogram, opposite angles are equal. Since the top middle angle is \( 2x + 1 \) and the bottom middle angle is \( 21 \), we can set up the equation:

\[
2x + 1 = 21
\]

To solve for \( x \), follow these steps:

1. Subtract 1 from both sides:

\[
2x = 21 - 1
\]
\[
2x = 20
\]

2. Now divide both sides by 2:

\[
x = \frac{20}{2}
\]
\[
x = 10
\]

So the value of \( x \) is \( 10 \).

The answer is \( \boxed{10} \).