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

1 answer

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:

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

  1. Now divide both sides by 2:

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

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

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