Question

the diagram shows a triangle.

triangle with angles 42°, 42°, and 14p + 12°

what is the value of p?

p = \boxed{\space}°

Explanation:

Step1: Sum triangle angles to 180°

$42 + 42 + (14p + 12) = 180$

Step2: Simplify left-hand side

$96 + 14p = 180$

Step3: Isolate the term with $p$

$14p = 180 - 96$
$14p = 84$

Step4: Solve for $p$

$p = \frac{84}{14}$

Answer:

$p = 6$