1.

ABCD is a cyclic quadrilateral and AB is diameter and angle D is 130. find X

Answer»

Answer:Therefore X=40

Step-by-step explanation:

DRAW a line JOINING A and C.

therefore,∠ACB=90 (angle SUBTENDED by the diameter of circle)

and ∠ABC is the supplementary angle of ∠ADC. (opposite angles of CYCLIC QUADRILATERAL)

∴∠ABC=180−∠ADC=180−130=50

∠BAC=180−(∠ACB+∠ABC)

=180−50−90=40



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