aequals
100 
​m, Aequals
32degrees 
48 prime
​, 
Cequals
27degrees 
32 prime
Question content area bottom
Part 1
What is the measure of angle​ B?
Bequals
enter your response heredegrees 
nothing prime

To solve for the measure of angle \( B \) in a triangle, we can use the fact that the sum of the interior angles of any triangle is always 180 degrees.

Given the following angles:
- \( A = 32^\circ 48' \)
- \( C = 27^\circ 32' \)

We can calculate \( B \) as follows:

\[
B = 180^\circ - A - C
\]
\[
B = 180^\circ - (32^\circ 48') - (27^\circ 32')
\]

To make the calculation easier, let's break it down:

1. First, subtract the degrees:
\[
180^\circ - 32^\circ - 27^\circ = 121^\circ
\]

2. Then, subtract the minutes:
\[
0' - 48' - 32' = -80'
\]

Since we have a negative result for the minutes, we need to adjust the degrees by borrowing 1 degree (which is 60 minutes):

\[
121^\circ - 1^\circ = 120^\circ
\]
\[
60' - 80' = -20'
\]

Therefore, the measure of angle \( B \) is:
\[
B = 120^\circ - 20' = 119^\circ 40'
\]

So, the measure of angle \( B \) is approximately:
\[
B = 119^\circ 40'
\]

Would you like further details on the steps, or do you have any questions?

---

Here are 5 related questions you might find helpful:
1. How do you convert degrees and minutes into decimal degrees?
2. What is the sum of the interior angles of a polygon with more than three sides?
3. How do you handle cases when the angles include seconds (e.g., \( 48" \))?
4. How do you find the third angle of a triangle given the other two angles and one side?
5. What is the sine rule, and when is it applied in triangle problems?

**Tip:** Always remember that \( 1^\circ = 60' \) and \( 1' = 60" \) when working with degrees, minutes, and seconds.

aequals 100m, Aequals 32degrees 48 prime, Cequals 27degrees 32 prime. What is the measure of angle​ B? Bequals enter your response heredegrees nothing prime.

Learn how to find the measure of angle B in a triangle where angles A and C are given in degrees and minutes. This geometry problem involves the angle sum property and calculations with degree-minute notation, suitable for Grades 9-11.

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