Problem

Determine the remaining sides and angles of the triangle $A B C$.
\[
a=100 \mathrm{~m}, \mathrm{~A}=39^{\circ} 54^{\prime}, \mathrm{C}=27^{\circ} 26^{\prime}
\]
What is the measure of angle $B$ ?
\[
B=
\]

Answer

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Answer

Final Answer: The measure of angle B is \(\boxed{112.67^{\circ}}\).

Steps

Step 1 :Given that the measures of angles A and C are \(39.9^{\circ}\) and \(27.43^{\circ}\) respectively, and the sum of the angles in a triangle is always \(180^{\circ}\).

Step 2 :We can find the measure of angle B by subtracting the measures of angles A and C from \(180^{\circ}\).

Step 3 :Performing the subtraction gives us the measure of angle B as approximately \(112.67^{\circ}\).

Step 4 :Final Answer: The measure of angle B is \(\boxed{112.67^{\circ}}\).

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