Question 356974: angle 2 is congruent to angle 3
angle 1 is complementary to angle 2
angle 3 is complementary to angle 4
prove: angle1 is congruent to angle 4
Answer by dudeantariksh(10)   (Show Source):
You can put this solution on YOUR website! proof:
angle 2 is congruent to angle 3 - given
let angle2=ange3= x...... result no.1
angle1+angle 2 =90 - as its given they are complementary
therefore, angle1 +x= 90..... result no.2[ as we have assumed in result 1]
angle3+angle4=90 - as its given they are complementary
therefore, x + angle4=90.... result no.3 [ as we have assumed in result 1]
therefore from results 2 and 3, we conclude that
angle1+x = angle4 +x
subtracting x from each side of te above eqaution,
angle1 = angle 4
that is,
angle1 congruent to angle4
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