Question

find hi and gh in parallelogram fghi.
hi =
gh =
submit

Explanation:

Step1: Set equal opposite sides

In a parallelogram, opposite sides are congruent, so $p+2 = 5p-82$.

Step2: Solve for $p$

Rearrange to isolate $p$:
$2+82 = 5p-p$
$84 = 4p$
$p = \frac{84}{4} = 21$

Step3: Calculate $HI$

$HI$ is congruent to $FG$, so substitute $p=21$:
$HI = p+2 = 21+2 = 23$

Step4: Calculate $GH$

$GH$ is congruent to $FI$, so substitute $p=21$:
$GH = 4p-70 = 4(21)-70 = 84-70 = 14$

Answer:

$HI = 23$
$GH = 14$