Question

what is the value of p?
p = \boxed{\space}^\circ
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Explanation:

Step1: Use linear pair property

$(p-4) + (u+30) = 180$
Simplify: $p + u + 26 = 180 \implies p + u = 154$ --- (1)

Step2: Use triangle angle sum

$u + (u-36) + (p-4) = 180$
Simplify: $2u + p - 40 = 180 \implies 2u + p = 220$ --- (2)

Step3: Subtract equation (1) from (2)

$(2u + p) - (p + u) = 220 - 154$
$u = 66$

Step4: Substitute u into equation (1)

$p + 66 = 154$
$p = 154 - 66$

Answer:

$88$