Answer:
X = 35° & Y= 110°
Explanation:
The total measure of all angles in a parallelogram must equal to 360°. While finding the measures, it is important to remember that opposite angles of parallelograms are congruent & adjacent angles of parallelograms are supplementary.
Let's call (3x+5): Side A
Side B: 70°
Side C: 2x
Side D: (x+3y)
Opposite angles of parallelograms are congruent, which means:
Side C = Side B
Side A = Side D
Lets solve for X:
Since side B = Side C, we can divide: 70°/2x
This means that X=35°
Lets solve for Y:
We already know the value of x. So lets substitute it into side a.
(3x+5)°
= (3(35)+5)
= (105+5)
= 110° ans
Now we know that side D must equal to 110°.
Side D= (x+3y)
(35+3y) = 110°
Subtract 35 on both sides, which gives you 3y= 75°
Now we divide both sides by 3, and this gives us 25°.
Y=25°
To check if the values of x & y are correct, we can add all the values and make sure they add up to 360°.
Side A + Side B + Side C + Side = 360°
110 + 70 + 70 + 110 = 360°
= 360° = 360°