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Question 7
(a) In figure, LBCE = 30°, Determine x, if y = 2x.
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Answer:
LECB=30(GIVEN)
L DCB+L ECB =180 (linear pair)
: = LDCB = 180 - 30 = 150
in quad. ABCD
LA +LC=180 (opposite angles of a cyclic quad.)
:LA + LDCB =180
LA + 150= 180
LA =30
LCBA = 30 +X (exterior angle property)
IN AFB
( Y = 2X)
LA + LB + LF=180 (ASP)
that is= 30 +(30 + X ) +2X =180
= 60+3X= 180
=3X =120
= X= 120/3
=X= 40
ans = x=40 degree
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