5. In adjacent figure AC 1 CE and interior angles of AABC are in the ratio 2:2:1 respectively, then
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LET ANGLE 'A' BE '3X'
ANGLE 'B' BE 'X'
ANGLE 'C' BE 'X'
SO,
3X + 2X+ X=180
6X = 180
X = 30
SO,
ANGLE 'A' = 3X=3*30 = 90
ANGLE 'B' = 2X = 2* 30 = 60
ANGLE 'C' = X = 30
THAN,ANGLE ACE =ANGLE CAB + ANGLE ABC [SUM OF 2 INTERIOR ANGLE OF TRIANGLE IS EQUAL TO THE EXTERIOR ANGLE OF THIRD SIDE]
ANGLE ACE = 90+ 60
=150
THERE FOR,
ANGLE ECD = ANGLE ACE -- ANGLE ACD
150- 90
= 60
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So, here is your answer.
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