the diagram shows a triangle. what is the value of a? a =

Question

Accepted Answer

# Explanation:
## Step1: Use the triangle angle sum theorem
The sum of the interior angles of a triangle is $180^{\circ}$. So, $a + 49^{\circ}+ 70^{\circ}=180^{\circ}$.
## Step2: Solve for $a$
$$
\begin{align*}
a&=180^{\circ}-(49^{\circ}+ 70^{\circ})\
a&=180^{\circ}-119^{\circ}\
a& = 61^{\circ}
\end{align*}
$$

# Answer:
$61$

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QUESTION IMAGE

Question

Explanation:

Step1: Use the triangle angle sum theorem

Step2: Solve for \(a\)

Answer: