Multiple choice question IV — task. Mathematics State Board, Class 9.

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1. If one angle of a cyclic quadrilateral is

$75^\circ$ , then the opposite angle is:

$100^\circ$
$90^\circ$
$85^\circ$
$105^\circ$

2.

In the figure,

$ABCD$ is a cyclic quadrilateral in which

$DC$ produced to

$E$ and

$CF$ is drawn parallel to

$AB$ such that

$\angle ADC = 80^\circ$ and

$\angle ECF = 20^\circ$ , then

$\angle BAD =$ ?

$100^\circ$
$120^\circ$
$110^\circ$
$20^\circ$

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