Math Problem Statement
Solution
The image shows a diagram with four numbered angles, and we are asked to find the measure of each angle. Here's how we can approach this:
Information given:
- One of the angles is marked as 70°.
- There is a right angle (90°) at the top left corner (between angle 1 and angle 2).
- Angle 3 is adjacent to a 35° angle.
- The angles appear to be part of a larger geometric figure, possibly involving triangles.
Step-by-step approach:
-
Angle 1:
- Angle 1 is part of a right triangle, and it is complementary to angle 2 (since the sum of the angles in a triangle is 180°, and one angle is 90°).
- To find angle 1: .
-
Angle 2:
- Angle 2 and angle 1 form a right angle.
- Therefore, .
-
Angle 3:
- Angle 3 is adjacent to the 35° angle, and these two angles form a straight line (linear pair).
- So, .
-
Angle 4:
- The total sum of the angles in a triangle is 180°.
- Since we have a triangle formed by angles 4, 70°, and 35°, the sum of these angles should equal 180°.
- To find angle 4: .
Final Results:
- Angle 1 = 20°
- Angle 2 = 90°
- Angle 3 = 145°
- Angle 4 = 75°
Would you like more details or have any other questions? Here are some related problems:
- What is the sum of angles in any triangle?
- How are complementary and supplementary angles defined?
- Can you explain what a linear pair of angles is?
- How do we calculate angles in any polygon?
- What is the relationship between interior and exterior angles in polygons?
Tip: Always remember that the sum of angles on a straight line is 180°, and the sum of angles in a triangle is always 180°.
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Math Problem Analysis
Mathematical Concepts
Geometry
Triangles
Angles
Formulas
Sum of angles in a triangle = 180°
Sum of angles on a straight line = 180°
Complementary angles sum to 90°
Theorems
Angle Sum Theorem
Linear Pair Theorem
Suitable Grade Level
Grades 6-8
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