Question

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

Explanation:

Step1: Sum angles to 180°

$$(5a-8^\circ)+(2a+12^\circ)+(3a-16^\circ)=180^\circ$$

Step2: Combine like terms

$$5a+2a+3a -8+12-16=180$$
$$10a -12=180$$

Step3: Isolate the variable term

$$10a=180+12$$
$$10a=192$$

Step4: Solve for $a$

$$a=\frac{192}{10}$$

Answer:

$a=19.2$