Question
Find the value of p in parallelogram GHIJ.
2p–58
3p–100
J
I
H
G
p=
2p–58
3p–100
J
I
H
G
p=
Answers
GPT-4o mini
To find the value of \( p \) in the parallelogram \( GHIJ \), we need to utilize the properties of a parallelogram, where opposite angles are equal.
You specified two angle expressions: \( 2p - 58 \) and \( 3p - 100 \). Since these could represent opposite angles in the parallelogram, we can set them equal to each other:
\[
2p - 58 = 3p - 100
\]
Now, we'll solve for \( p \):
1. Start by isolating \( p \):
\[
2p - 58 = 3p - 100
\]
2. Subtract \( 2p \) from both sides:
\[
-58 = p - 100
\]
3. Add \( 100 \) to both sides:
\[
-58 + 100 = p
\]
4. Simplify:
\[
42 = p
\]
So, the value of \( p \) is \( \boxed{42} \).
You specified two angle expressions: \( 2p - 58 \) and \( 3p - 100 \). Since these could represent opposite angles in the parallelogram, we can set them equal to each other:
\[
2p - 58 = 3p - 100
\]
Now, we'll solve for \( p \):
1. Start by isolating \( p \):
\[
2p - 58 = 3p - 100
\]
2. Subtract \( 2p \) from both sides:
\[
-58 = p - 100
\]
3. Add \( 100 \) to both sides:
\[
-58 + 100 = p
\]
4. Simplify:
\[
42 = p
\]
So, the value of \( p \) is \( \boxed{42} \).