Question

find the requested values.
(image of a right triangle abc with right angle at a, angle at b is 38°, angle at c is 5p+7°, and a box to find p.)
p =

Explanation:

Step1: Sum of angles in right triangle

$\angle A + \angle B + \angle C = 180^\circ$
$90^\circ + 38^\circ + (5p + 7^\circ) = 180^\circ$

Step2: Simplify the equation

$135^\circ + 5p = 180^\circ$

Step3: Solve for p

$5p = 180^\circ - 135^\circ = 45^\circ$
$p = \frac{45^\circ}{5} = 9$

Answer:

9