Photos included For each of the following diagrams what is the value of x?

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Answer 1 · 2017-11-03T20:32:25

#(a) " "x=9#

#(b)" "x=17#

#(a)#

# < ABD = < AED" angles in the same segment "#

#:.x+18=3x#

now solve

#2x=18#

#:.x=9#

#(b)#

#< ECD=2xx< EFD#

angle subtended at the centre of a circle is twice the angle subtended at the circumference by the same chord.

#(4x+2)=2(3x-16)#

solving

#4x+2=6x-32#

#:.2x=34#

#:.x=17#