Question

what is the value of a? a + 34° a - 15° a a = °

Explanation:

Step1: Apply exterior - angle property

The exterior - angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, \(a + 34^{\circ}=a+(a - 15^{\circ})\).

Step2: Simplify the equation

\[

$$\begin{align*} a + 34&=a+a - 15\\ a + 34&=2a-15 \end{align*}$$

\]

Step3: Solve for \(a\)

Subtract \(a\) from both sides: \(34=a - 15\). Then add 15 to both sides: \(a=34 + 15=49\).

Answer:

\(49\)