A parallelogram ABCD angle A is 3x-2 and angle C is 2x+23. Then, the measure of angle A is
A.73 degree B.75 degree C. 85 degree D. 90 degree.
opposite angles are equal
3x-2=2x+23
x=25
A=3x-3=73
I think that it is wrong
No, it is right
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To find the measure of angle A in a parallelogram ABCD using the given information, we need to remember that opposite angles in a parallelogram are congruent.
In this case, angle A is opposite to angle C because they are on opposite corners of the parallelogram. This means that their measures are equal:
angle A = angle C
So, we can set up an equation to find x:
3x - 2 = 2x + 23
To solve for x, we can simplify the equation by combining like terms:
3x - 2x = 23 + 2
x = 25
Now that we have the value of x, we can substitute it back into either angle A or angle C to find its measure. Let's use angle A:
angle A = 3x - 2
= 3(25) - 2
= 75 - 2
= 73
Therefore, the measure of angle A is 73 degrees.
So the correct answer is A. 73 degrees.