Question : In $ riangle ABC$, M and N are the points on side BC such that AM $\perp$ BC, AN is the bisector of $\angle A$, and M lies between B and N. If $\angle B=68^{\circ}$, and $\angle \{C}=26^{\circ}$, then the measure of $\angle MAN$ is:
Option 1: 21º
Option 2: 28º
Option 3: 24º
Option 4: 22º

Question

Question : In $ riangle ABC$, M and N are the points on side BC such that AM $\perp$ BC, AN is the bisector of $\angle A$, and M lies between B and N. If $\angle B=68^{\circ}$, and $\angle \{C}=26^{\circ}$, then the measure of $\angle MAN$ is:

Option 1: 21º

Option 2: 28º

Option 3: 24º

Option 4: 22º

Team Careers360 · Accepted Answer

Correct Answer: 21º

Solution :
$ riangle$ABC, M and N are the side on BC such that AM $\perp$ BC, AN is the bisector $\angle$A, and M lies between B and N
$\angle$B = 68$^\circ$, and $\angle$C = 26$^\circ$
Concept used:
$ riangle$ABC, M and N are the sides on BC such that AM ⊥ BC, AN is the bisector $\angle$A, and M lies between B and N.
$\angle$MAN = $\frac{(\angle ext{B} - \angle ext{C})}{2}$
Solution:
⇒ $\angle$MAN = $\frac{(\angle ext{B} - \angle ext{C})}{2}$
⇒ $\angle$MAN = $\frac{(68^\circ - 26^\circ)}{2}$ = 21$^\circ$
Hence, the correct answer is 21$^\circ$.

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Question : In △ABC, M and N are the points on side BC such that AM ⊥ BC, AN is the bisector of ∠A, and M lies between B and N. If ∠B=68∘, and ∠C=26∘, then the measure of ∠MAN is:Option 1: 21ºOption 2: 28ºOption 3: 24ºOption 4: 22º

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Question : In $△ A B C$ , M and N are the points on side BC such that AM $⊥$ BC, AN is the bisector of $∠ A$ , and M lies between B and N. If $∠ B = 68^{\circ}$ , and $∠ C = 26^{\circ}$ , then the measure of $∠ M A N$ is:
Option 1: 21º
Option 2: 28º
Option 3: 24º
Option 4: 22º