Math Problem Statement
Classify the four angles of the quadrilateral.
Solution
To classify the four angles of the given quadrilateral:
- Angle A (∠A) is labeled as 70°, which is acute (since an acute angle is less than 90°).
- Angle B (∠B) is labeled as 140°, which is obtuse (since an obtuse angle is between 90° and 180°).
- Angle C (∠C) is labeled as 60°, which is acute (since it's less than 90°).
- Angle D (∠D) is labeled as 90°, which is a right angle (since it's exactly 90°).
So, the classification would be:
- ∠A: Acute
- ∠B: Obtuse
- ∠C: Acute
- ∠D: Right
Would you like further details or explanations on any part of this?
Here are five related questions for deeper exploration:
- How do you classify angles when given different degrees?
- What is the sum of the interior angles of any quadrilateral?
- How can you determine the type of a quadrilateral based on its angles?
- What are some examples of quadrilaterals with different angle combinations?
- How can adjacent angles help determine the overall shape of a polygon?
Tip: The sum of the interior angles of any quadrilateral is always 360°, which can help in cross-checking the given angles!
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Math Problem Analysis
Mathematical Concepts
Geometry
Angle Classification
Quadrilaterals
Formulas
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Theorems
The sum of the interior angles of a quadrilateral is always 360°.
Suitable Grade Level
Grades 6-8