Question

Find the value of x in the parallelogram:T(2. – 45)%7075105110

Answer 1

Step 1: Concept/Theorem

Any parallelogram has consecutive angles that are supplementary. Supplementary means that they add up to 180°.

Step 2: Apply the theorem to find the value of x.

$\begin{gathered} x\text{ + 2x - 45 = 180 } \\ 3x\text{ = 180 + 45} \\ \text{ 3x = 225} \\ \text{ x = }\frac{225}{3} \\ \text{ x = }75 \end{gathered}$

Step 3: Final answer

x = 75