Question

the diagram shows a triangle.
what is the value of a?
$a = \square^\circ$

Explanation:

Step1: Sum angles of triangle to 180°

$45 + 2a + 3a = 180$

Step2: Combine like terms

$45 + 5a = 180$

Step3: Isolate term with $a$

$5a = 180 - 45$
$5a = 135$

Step4: Solve for $a$

$a = \frac{135}{5}$

Answer:

$a = 27^\circ$