Question

the diagram shows a triangle.
what is the value of ( c )?
( c = square^circ )

Explanation:

Step1: Sum angles to 180°

$(c-22^\circ) + (c+4^\circ) + 34^\circ = 180^\circ$

Step2: Simplify left side

$c - 22 + c + 4 + 34 = 180$
$2c + 16 = 180$

Step3: Isolate 2c term

$2c = 180 - 16$
$2c = 164$

Step4: Solve for c

$c = \frac{164}{2}$

Answer:

$82$