Question

solve for p

Explanation:

Step1: Find angle $n$

First, calculate the interior angle $n$ using the linear pair property (supplementary angles sum to $180^\circ$):
$n = 180^\circ - 87^\circ = 93^\circ$

Step2: Find angle $m$

Use the triangle angle sum theorem (sum of interior angles in a triangle is $180^\circ$):
$m = 180^\circ - 61^\circ - 93^\circ = 26^\circ$

Step3: Find angle $p$

Use the linear pair property again to find $p$:
$p = 180^\circ - m = 180^\circ - 26^\circ$

Answer:

$154^\circ$