write the conditional Statement of the following: Vertically opposite angles are of equal measures, Is the converse true of this statement ? Justify
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Answer:
Given: If an angle is a right angle then its measure is 90
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Converse: If the measure of an angle is 90
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then it is a right angle.
Inverse: If an angle is not a right angle then its measure is not 90
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.
Contrapositive: If the measure of the angle is not 90
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then it is not a right angle.
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The converse of statement is not true. Not all equal angles are vertically opposite.
What are angle that are vertically opposite?
- When there is intersection of two lines, angles that are opposite to each other are known as vertically opposite.
- These angles are divisions of two straight lines. They only have one common angle which when summed up with any of these vertically opposite angles of the pair, gives 180 degrees.
- Other angles like corresponding angles are also equal in measure.
- Corresponding angles are formed by one transverse line when it cuts two parallel lines.
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