Triangle ABC is a right triangle. Point D is the midpoint of side AB and point E is the midpoint of side AC. The measure of angle ADE is 36°. The following flowchart with missing statements and reasons proves that the measure of angle ECB is 54°: Which statement and reason can be used to fill in the numbered blank spaces? A. Measure of angle AED is 36° Base angle theorem Corresponding angles are congruent B. Measure of angle AED is 54° Base angle theorem Alternate interior angles are congruent C. Measure of angle AED is 54° Triangle Sum Theorem Alternate interior angles are congruent D.Measure of angle AED is 54° Triangle Sum Theorem Corresponding angle are congruent
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We are also given that the measure of angle ADE is 36°. Now, we need to find the measure of angle AED. Since triangle ADE is an isosceles triangle (because AD = AE), we can use the Base Angle Theorem, which states that the base angles of an isosceles triangle Show more…
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