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Lines AB and CD intersect at E. Find the measure of angle BEC when angle AED measures...

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bigbang! | Student, Grade 9 | Honors

Posted July 19, 2011 at 3:45 AM via web

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Lines AB and CD intersect at E. Find the measure of angle BEC when angle AED measures 40.30 and 44.175 degrees.

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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted July 19, 2011 at 4:13 AM (Answer #1)

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The lines AB and CD intersect at E. The angles BEC and AED form a vertical pair of angles and are equal in magnitude.

When AED measures 40.3 degrees, BEC also measures 40.3 degrees.

When AED measures 44.175 degrees, BEC also measures 44.175 degrees.

 

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deaconandy | High School Teacher | Honors

Posted July 19, 2011 at 6:14 AM (Answer #2)

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In geometry, when two lines intersect they form two pair of vertical angles. remember that a pair of angles is said to be vertical if the angles are formed from two intersecting lines and the angles are not adjacent. In this case angles BEC and AED are vertical angles and vertical angles are always congruent. Therefore, if AED measures 40.30, then so does BEC. Similarly, if AED measures 44.175, BEC does also.

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