Math Problem Statement
Solve problems, 16, 18 and 20
Solution
Let's address the requested problems from the image.
Problem 16:
Draw a figure that fits each description - an acute angle, ∠GHJ.
- An acute angle is an angle that measures less than 90 degrees. For ∠GHJ, you would draw two rays that meet at point H, ensuring that the angle between them is less than 90°. This could be any measurement from 0° to less than 90°.
Problem 18:
Use the diagram below. Complete each statement - ∠CBJ ≅ ∠___.
- The notation "≅" stands for "congruent to," meaning the angles have the same measurement.
- Without the diagram, it's not possible to identify the specific angle congruent to ∠CBJ. However, based on typical geometric problems, you would look for an angle with the same measurement, either through symmetry or other geometric properties (like corresponding or alternate angles).
Problem 20:
If m∠EFD = 75°, then m∠JAB = ___.
- Given that m∠EFD = 75°, we are asked to find the measurement of ∠JAB. Since we don’t have the diagram for reference, it's likely this problem uses a supplementary, complementary, or some geometric rule (parallel lines, etc.).
- If ∠EFD and ∠JAB are corresponding angles, or if some geometric property links them, then ∠JAB = 75°.
- If the two angles are supplementary (add up to 180°), then m∠JAB = 180° - 75° = 105°.
Please refer to the diagram to determine the exact relationship between the angles.
Would you like more details or have further questions on any of these problems?
Here are 5 related questions for further practice:
- What are the properties of congruent angles?
- How do you find the measure of supplementary angles?
- Can an obtuse angle be congruent to an acute angle?
- How would you classify an angle measuring exactly 90°?
- What geometric rules can help find angle congruences in a diagram?
Tip: When solving geometry problems, always analyze the relationships between angles using properties like congruence, supplementarity, or angle sum in polygons.
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Math Problem Analysis
Mathematical Concepts
Angles
Congruent Angles
Acute Angles
Supplementary Angles
Formulas
m∠1 + m∠2 = 180° (supplementary angles)
Theorems
Congruent Angles Theorem
Supplementary Angles Theorem
Suitable Grade Level
Grades 6-8
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