Answer:
Step-by-step explanation:
<em>A parallelogram has two pairs of identical angles.</em>
The identical angles will be <u>directly opposite from each other</u>.
This means that:
- Angle C = Angle A
- Angle D = Angle B
Therefore, we can say that Angle A is 3x degrees and Angle B is x+52 degrees.
It's also important to note that all angles in a quadrilateral add up to 360°.
Since we know the measure of each angle, we can add up the expressions for each and find x.
Let's simplify this equation.
Now that we know the value of x, let's use it to find the measure of Angle A.
We already proved earlier that Angle C is equivalent to Angle A. Since we know the expression for Angle C (3x) it'll be the same for angle A.
So A is 96°
Hope this helped!