What is the value of d?
Understand the Problem
The question is asking for the value of angle d which is vertically opposite to another angle measuring 27 degrees. To solve this, we can use the property that vertical angles are congruent, meaning they are equal in measure.
Answer
\( d = 27^\circ \)
Answer for screen readers
The value of ( d ) is ( 27^\circ ).
Steps to Solve
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Identify Vertical Angles
Vertical angles are formed when two lines intersect. They are opposite each other and are congruent (equal in measure). In this case, the angle measuring 27 degrees is vertically opposite to angle ( d ). -
Set Up the Equation
Since the angles are vertical, we can express this relationship as:
$$ d = 27^\circ $$ -
Conclusion
The value of angle ( d ) is equal to the value of the other vertically opposite angle, which is 27 degrees.
The value of ( d ) is ( 27^\circ ).
More Information
Vertical angles are always equal. This is a fundamental property of angles formed by intersecting lines. Therefore, whenever you have one angle, you can determine its vertical angle directly.
Tips
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