Given:
m∠D = 130 degrees
m∠B = (3x - 1.5) degrees
Let's solve for the value of x.
A parallelogram is a quadilateral that has equal opposite angles and equal opposite sides.
Since a parallelogram has equal opposite angles, measure of angle D and measure of angle B are equal.
Thus, we have the equation:
m∠B = m∠D
(3x - 1.5) = 130
Solve for x.
Remove the parentheses:
3x - 1.5 = 130
Add 1.5 to both sides:
3x - 1.5 + 1.5 = 130 + 1.5
3x + 0 = 131.5
3x = 131.5
Divide both sides by 3:
[tex]\begin{gathered} \frac{3x}{3}=\frac{131.5}{3} \\ \\ x=43.83\approx44 \end{gathered}[/tex]
Therefore, the value of x rounded to the nearest whole number 44
ANSWER:
44
