Enter the correct value of x.
Answer:
30
Step-by-step explanation:
Adjacent angles of a parallelogram add up to 180 degrees, meaning that (3x)+(x+60)=180 degrees. You can use this to set up the following equation:
3x+x+60=180
4x=120
x=30 degrees. Hope this helps!
In a parallelogram, opposite angles are equal. Therefore, set 3x (angle A) equal to x + 60 (angle D). Solving for x, we get x = 30.
In this case, we're working with a parallelogram, and one of the properties of a parallelogram is that its opposite angles are equal. That means that ∠A is equal to ∠D. So we set (3x) equal to (x + 60).
To determine the value of x, we can solve this equation:
3x = x + 60. Subtract x from both sides to get 2x = 60, then divide by 2 to get x = 30.
So, the value of x that makes ABCD a parallelogram is 30.
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