Mathematics
Mathematics, 29.07.2020 04:01, montgomerykarloxc24x

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 36Ā°. Triangle ABC with segment DE. Angle ADE measures 36 degrees.

The proof, with a missing reason, proves that the measure of angle ECB is 54Ā°.

StatementReason
māˆ ADE = 36Ā°Given
māˆ DAE = 90Ā°Definition of a right angle
māˆ AED = 54Ā°Triangle Sum Theorem
segment DE joins the midpoints of segment AB and segment ACGiven
segment DE is parallel to segment BC?
āˆ ECB ā‰… āˆ AEDCorresponding angles are congruent
māˆ ECB = 54Ā°Substitution property

Which theorem can be used to fill in the missing reason?
Concurrency of Medians Theorem
Isosceles Triangle Theorem
Midsegment of a Triangle Theorem
Triangle Inequality Theorem

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Triangle ABC is a right triangle. Point D is the midpoint of side AB and point E is the midpoint of...

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