What is the measure of angle b?
Understand the Problem
The question is asking for the measurement of angle b given that the other angle measures 43 degrees. This involves understanding properties of angles formed by intersecting lines, specifically corresponding angles or vertical angles.
Answer
Angle b measures $43$ degrees.
Answer for screen readers
The measure of angle b is $43$ degrees.
Steps to Solve
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Identify the relationship between angles Since the two lines intersect, angle b and the given angle (43 degrees) are vertical angles. Vertical angles are always equal.
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Set up the equation Given that vertical angles are equal, we can write the equation: $$ b = 43 $$
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Solve for angle b Thus, we find that: $$ b = 43 $$
The measure of angle b is $43$ degrees.
More Information
When two lines intersect, the opposite (or vertical) angles formed are equal in measure. This property simplifies calculating unknown angles in intersecting line scenarios.
Tips
- Confusing vertical angles with supplementary angles. Remember, vertical angles are equal, while supplementary angles add up to 180 degrees.
- Forgetting to clearly identify which angle is being referenced. Make sure to label angles properly in diagrams.
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