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Mathematics, 05.05.2020 10:22 tiasoraw

The following flowchart with missing statements and reasons proves that the measure of angle ECB is 54°: Statement, Measure of angle ADE is 36 degrees, Reason, Given, and Statement, Measure of angle DAE is 90 degrees, Reason, Definition of right angle, leading to Statement 1 and Reason 2, which further leads to Statement, Measure of angle ECB is 54 degrees, Reason, Substitution Property. Statement, Segment DE joins the midpoints of segment AB and AC, Reason, Given, leading to Statement, Segment DE is parallel to segment BC, Reason, Midsegment theorem, which leads to Angle ECB is congruent to angle AED, Reason 3, which further leads to Statement, Measure of angle ECB is 54 degrees, Reason, Substitution Property. Which statement and reason can be used to fill in the numbered blank spaces? Measure of angle AED is 36° Base Angle Theorem Corresponding angles are congruent Measure of angle AED is 54° Base Angle Theorem Alternate interior angles are congruent Measure of angle AED is 54° Triangle Sum Theorem Alternate interior angles are congruent Measure of angle AED is 54° Triangle Sum Theorem Corresponding angles are congruent

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