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Find
m/_NML
L
10 x+10

$2$ ) Find $m \angle N M L$ $\newline$ L $10 x+10$

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Solve equations with variable exponents

Full solution

Q.

2

) Find

m \angle N M L

\newline

L

10 x+10

Identify Triangle Angles: Identify the sum of angles in a triangle. $\newline$ In any triangle, the sum of the angles is $180$ degrees.
Set Up Equation: Set up the equation. $\newline$ Since angle L is $10x + 10$ degrees, and the sum of the angles in triangle NML must be $180$ degrees, we can write the equation: $m + (10x + 10) + \text{angle } N = 180$ .
Assume Known Angle: Assume angle N is known. $\newline$ We don't have the measure of angle N, so let's assume it's a known value, say ' $a$ ' degrees. Now the equation is: $m + (10x + 10) + a = 180$ .
Solve for m: Solve for m. $\newline$ To find m, we need to subtract the measures of angle L and angle N from $180$ degrees. So, $m = 180 - (10x + 10) - a$ .
Missing Values: Realize we don't have values for $x$ or $a$ . We can't solve for $m$ without the values for $x$ or angle $N$ .

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