The measures of two angles of a triangle are given. Find the measure of the third angle.
63° 59', 108° 11'
The measure of the third angle is (Simplify your answer. Type a whole number.)

To find the measure of the third angle in a triangle, we can use the fact that the sum of the angles in any triangle is always \(180^\circ\).

Given angles:
1. \(63^\circ 59'\)
2. \(108^\circ 11'\)

Let's first add these two angles together:

\[
63^\circ 59' + 108^\circ 11' = 172^\circ 70'
\]

Since \(70'\) is equivalent to \(1^\circ 10'\), the sum becomes:

\[
172^\circ 70' = 173^\circ 10'
\]

Now, subtract this sum from \(180^\circ\) to find the third angle:

\[
180^\circ - 173^\circ 10' = 6^\circ 50'
\]

Since the question asks for a whole number:

\[
\text{The measure of the third angle is } 7^\circ.
\]

Would you like more details or have any questions?

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1. How do you calculate the sum of angles in a triangle?
2. What is the importance of angle sum property in triangles?
3. Can a triangle have more than one obtuse angle?
4. How would you handle non-standard angle measurements (like degrees and minutes)?
5. Why do the angles in a triangle always add up to 180 degrees?

**Tip:** When dealing with angles in degrees and minutes, remember that 60 minutes (\(60'\)) make 1 degree (\(1^\circ\)).

Discover how to find the measure of the third angle in a triangle with given angles 63° 59' and 108° 11'. Learn the angle sum property of triangles and how to apply it to find the missing angle. Suitable for Grades 7-9 students studying geometry.

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