two angles in a triangle measure 34° and 61°. what is the measure of the third angle?

Question

Accepted Answer

# Explanation:
## Step1: Recall the sum of angles in a triangle
The sum of the interior angles of a triangle is $180^{\circ}$.
## Step2: Set up the equation
Let the third angle be $x$. Then $x + 34^{\circ}+61^{\circ}=180^{\circ}$.
## Step3: Solve for $x$
$$
\begin{align*}
x&=180^{\circ}-(34^{\circ} + 61^{\circ})\
x&=180^{\circ}-95^{\circ}\
x&=85^{\circ}
\end{align*}
$$

# Answer:
$85$

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QUESTION IMAGE

Question

Explanation:

Step1: Recall the sum of angles in a triangle

Step2: Set up the equation

Step3: Solve for \(x\)

Answer: