Math Problem Statement
Finding the missing angle labeled “?”. (Hint: This problem can be solved using the properties of rectangles. You must draw a rectangle in the diagram. If you aren’t sure where, wait until you find the angle which must be 90°.)
Solution
To solve for the missing angle labeled “?”, let’s carefully analyze the geometry in the diagram using the hint regarding the properties of rectangles and angles.
Step-by-step solution:
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Review the Given Angles:
- The angles labeled are 50°, 70°, 80°, and 60°.
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Understand the Rectangle Hint:
- The hint suggests that we draw a rectangle. Rectangles have right angles (90°) at each corner, which helps deduce unknown angles.
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Analyze the Triangle Properties:
- Triangles have a total internal angle sum of 180°. For any specific triangle, we can calculate unknown angles if two angles are known.
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Determine the Missing Angle:
- Starting from the angle relationships, look for where a 90° angle would fit geometrically.
Please confirm if you want me to annotate and analyze further details about the angle properties or deduce missing steps based on the geometric configuration shown.
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Math Problem Analysis
Mathematical Concepts
Geometry
Angles in Triangles
Rectangles
Formulas
Sum of angles in a triangle = 180°
Theorems
Properties of rectangles (right angles)
Angle sum property of a triangle
Suitable Grade Level
Grades 6-8