Question

what are the values of p and v?
p = \square^\circ
v = \square^\circ
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Explanation:

Step1: Use linear pair for $p$

$p + (v - 37^\circ) = 180^\circ$
Rearrange: $v = 217^\circ - p$

Step2: Use triangle exterior angle theorem

The exterior angle $p$ equals the sum of the two remote interior angles:
$p = (p - 35^\circ) + (p - 37^\circ)$

Step3: Solve for $p$

$p = 2p - 72^\circ$
$2p - p = 72^\circ$
$p = 72^\circ$

Step4: Substitute $p$ to find $v$

$v = 217^\circ - 72^\circ$
$v = 145^\circ$

Answer:

$p = 72^\circ$
$v = 145^\circ$