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In the figure, if line segment $M N$ bisects angle $D A B$, then what
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30 Oct 2025, 23:55
30 Oct 2025, 23:55
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In the figure, if line segment $\(M N\)$ bisects angle $\(D A B\)$, then what is the value of $\(x\)$ ?
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Re: In the figure, if line segment $M N$ bisects angle $D A B$, then what
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08 Nov 2025, 10:12
08 Nov 2025, 10:12
Expert Reply
In order to solve this problem, we need to find the value of angle $D A B$.
We see that angle $D A B$ plus the missing angle of triangle $\(A B C\)$ is a straight line, meaning that these angles will add up to 180 degrees.
We also know that there are 180 degrees inside a triangle, which means that the sum of the two known angles, 57 and 47 degrees, is the same as angle $\(D A B\)$.
$\(57+47=104\)$ degrees total.
Finally, we know that line segment $M N$ bisects angle $D A B$, or cuts it in half, which means that the value of $x$ will be half of that value. angle $\(D A B=104\)$
$$
\(\begin{aligned}
& x=\frac{104}{2} \\
& x=52
\end{aligned}\)
$$
We see that angle $D A B$ plus the missing angle of triangle $\(A B C\)$ is a straight line, meaning that these angles will add up to 180 degrees.
We also know that there are 180 degrees inside a triangle, which means that the sum of the two known angles, 57 and 47 degrees, is the same as angle $\(D A B\)$.
$\(57+47=104\)$ degrees total.
Finally, we know that line segment $M N$ bisects angle $D A B$, or cuts it in half, which means that the value of $x$ will be half of that value. angle $\(D A B=104\)$
$$
\(\begin{aligned}
& x=\frac{104}{2} \\
& x=52
\end{aligned}\)
$$
gmatclubot
Re: In the figure, if line segment $M N$ bisects angle $D A B$, then what [#permalink]
08 Nov 2025, 10:12
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