Given: ZFED and ZDEW are F complementary. Prove: ZFEW is a right angle. E W ZFED and ZDEW are complementary because it is given. By the Definition of Complementary Angles, MLFED+ mZDEW= a. ? . MZFED+ mZDEW=mFEW by the b. ? . 90 = mZFEW by the c. ? Property of Equality. Then ZFEW is a right angle by the d. ? .

Elementary Geometry for College Students
6th Edition
ISBN:9781285195698
Author:Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:Daniel C. Alexander, Geralyn M. Koeberlein
Chapter1: Line And Angle Relationships
Section1.7: The Formal Proof Of A Theorem
Problem 28E
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11 )Fill in the missing parts(A-D).

Given: ZFED and ZDEW are
F
complementary.
Prove: ZFEW is a right angle.
E
W
ZFED and ZDEW are complementary because it is
given. By the Definition of Complementary Angles,
MLFED+ mZDEW= a. ? .
MZFED+ mZDEW=mFEW by the b. ? .
90 = mZFEW by the c. ? Property of Equality.
Then ZFEW is a right angle by the d. ? .
Transcribed Image Text:Given: ZFED and ZDEW are F complementary. Prove: ZFEW is a right angle. E W ZFED and ZDEW are complementary because it is given. By the Definition of Complementary Angles, MLFED+ mZDEW= a. ? . MZFED+ mZDEW=mFEW by the b. ? . 90 = mZFEW by the c. ? Property of Equality. Then ZFEW is a right angle by the d. ? .
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