Question
Find the value of a in the parallelogram.
(6a-4)
(4a+34)
(1 point)
a =
°
(6a-4)
(4a+34)
(1 point)
a =
°
Answers
GPT-4o mini
To find the value of \( a \) in a parallelogram, we typically use the property that opposite angles are equal. In this case, if you have two expressions for angles, we can set them equal to each other:
\[
6a - 4 = 4a + 34
\]
Now, let's solve for \( a \):
1. Subtract \( 4a \) from both sides:
\[
6a - 4a - 4 = 34
\]
This simplifies to:
\[
2a - 4 = 34
\]
2. Next, add \( 4 \) to both sides:
\[
2a = 34 + 4
\]
This simplifies to:
\[
2a = 38
\]
3. Finally, divide by \( 2 \):
\[
a = \frac{38}{2} = 19
\]
Thus, the value of \( a \) is:
\[
\boxed{19}
\]
\[
6a - 4 = 4a + 34
\]
Now, let's solve for \( a \):
1. Subtract \( 4a \) from both sides:
\[
6a - 4a - 4 = 34
\]
This simplifies to:
\[
2a - 4 = 34
\]
2. Next, add \( 4 \) to both sides:
\[
2a = 34 + 4
\]
This simplifies to:
\[
2a = 38
\]
3. Finally, divide by \( 2 \):
\[
a = \frac{38}{2} = 19
\]
Thus, the value of \( a \) is:
\[
\boxed{19}
\]