Question

what is the value of a?
a = □ °

Explanation:

Step1: Apply the exterior - angle theorem

The exterior - angle theorem states that an exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles.
So, \(7a - 43=(a + 16)+43\)

Step2: Simplify the equation

$$
LATEXBLOCK0
$$

Step3: Solve for \(a\)

Subtract \(a\) from both sides: \(7a - a-43=a - a+59\), which gives \(6a-43 = 59\).
Add \(43\) to both sides: \(6a-43 + 43=59 + 43\), so \(6a=102\).
Divide both sides by \(6\): \(a=\frac{102}{6}\)

Answer:

\(17\)