If angle $\mathrm{MNO}$ measures $112°$, what is the measure of angle $\mathrm{LMN}$?

• A. $45°$
• B. $68°$
• C. $56°$
• D. $34°$

Answer: (B)

Verified step by step guidance

1. Identify the relationship between the angles involved. Since the problem mentions angles MNO and LMN, consider if they are part of a triangle or if they form a linear pair or any other geometric figure.
2. Recall that the sum of the interior angles of a triangle is always \$180^\circ\(. If angles MNO and LMN are two angles of the same triangle, then the third angle can be found by subtracting their sum from \)180^\circ$.
3. Use the given measure of angle MNO, which is \$112^\circ\(, and the given angle LMN (or the unknown angle you need to find) to set up an equation based on the sum of angles in the triangle: \)\angle MNO + \angle LMN + \angle NML = 180^\circ$.
4. If there is an additional given angle (for example, \$45^\circ\(), include it in the equation accordingly. Substitute the known values and solve for the unknown angle \)\angle LMN$ by isolating it on one side of the equation.
5. Perform the algebraic steps to find the measure of \(\angle LMN\), ensuring your answer is consistent with the options provided (68°, 56°, 34°).