find the measure of angle t in the triangle below.
m

Question

find the measure of angle t in the triangle below.
m<t = type your answer... degrees

Accepted Answer

# Explanation:
## Step1: Recall the triangle - angle sum theorem
The sum of the interior angles of a triangle is $180^{\circ}$. Let $\angle A = 27^{\circ}$, $\angle M=82^{\circ}$, and $\angle T$ be the angles of $\triangle AMT$. Then $m\angle A + m\angle M+m\angle T=180^{\circ}$.
## Step2: Solve for $m\angle T$
Substitute the values of $m\angle A$ and $m\angle M$ into the equation:
$$
\begin{align*}
m\angle T&=180^{\circ}-(m\angle A + m\angle M)\
&=180^{\circ}-(27^{\circ}+ 82^{\circ})\
&=180^{\circ}-109^{\circ}\
& = 71^{\circ}
\end{align*}
$$

# Answer:
$71$

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QUESTION IMAGE

Question

Explanation:

Step1: Recall the triangle - angle sum theorem

Step2: Solve for \(m\angle T\)

Answer: