Question

what is the value of a?
work it out
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Explanation:

Step1: Apply the exterior - angle theorem

The exterior - angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non - adjacent interior angles.
So, \(5a=(3a)+(4a - 40)\).

Step2: Simplify the equation

$$
LATEXBLOCK0
$$

Step3: Solve for \(a\)

Divide both sides of the equation \(-2a=-40\) by \(-2\).
\(a = 20\)

Answer:

\(20\)