Math Problem Statement
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.)
Solution
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 .
Given angles:
Let's first add these two angles together:
Since is equivalent to , the sum becomes:
Now, subtract this sum from to find the third angle:
Since the question asks for a whole number:
Would you like more details or have any questions?
- How do you calculate the sum of angles in a triangle?
- What is the importance of angle sum property in triangles?
- Can a triangle have more than one obtuse angle?
- How would you handle non-standard angle measurements (like degrees and minutes)?
- 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 () make 1 degree ().
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Math Problem Analysis
Mathematical Concepts
Geometry
Triangle properties
Formulas
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Theorems
Angle sum property of triangles
Suitable Grade Level
Grades 7-9