Question

1. solve for x. parallelogram wxyz with angle at w being 104° and angle at x being 9x - 5° type a response

Explanation:

Step1: Use consecutive angles property

In a trapezoid with $ZW \parallel YX$, consecutive angles between the parallel sides are supplementary, so their sum is $180^\circ$.
$$104 + (9x - 5) = 180$$

Step2: Simplify the left side

Combine the constant terms.
$$9x + 99 = 180$$

Step3: Isolate the variable term

Subtract 99 from both sides.
$$9x = 180 - 99$$
$$9x = 81$$

Step4: Solve for x

Divide both sides by 9.
$$x = \frac{81}{9}$$

Answer:

$x = 9$