Question

parallelogram ABCD is below. m < D = 130° and m < B = (3x-1.5)° . solve for x and round to the nearest whole number.

Answer 1

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:

`\begin{gathered} (3x)/(3)=(131.5)/(3) \\ \\ x=43.83\approx44 \end{gathered}`

Therefore, the value of x rounded to the nearest whole number 44

ANSWER:

44