Question 1

$\angle B\ and\ \angle D$ are inscribed angles that intercept the same arc. If m $\angle$ $B$ $=27x$ and $m\ \angle D\ =\ 10x+51,\ find\ x.$

Accepted Answer

$\angle B\ and\ \angle D$

Answer

$\angle B\ and\ \angle D$

Answer

$\angle B\ and\ \angle D$

Answer

$\angle B\ and\ \angle D$

Question 2

Quadrilateral $ABCD\$ is inscribed in a circle. m $\angle A$ $=x$ , m $\angle C=2x$ Find the value of $x.$

Accepted Answer

60

Answer

0

Answer

50

Answer

1

Question 3

Danica divided the sliced orange into 5 different parts with different measurements. Given that the sliced parts measures $ABCD\$ , $\angle A$ , $=27x$ , $m\ \angle D\ =\ 10x+51,\ find\ x.$ respectively. What is the measure of the last slice?

Accepted Answer

$\angle B\ and\ \angle D$

Answer

$\angle B\ and\ \angle D$

Answer

$\angle B\ and\ \angle D$

Answer

$\angle B\ and\ \angle D$

Question 4

$\angle B\ and\ \angle D$ is a central angle in circle B intersecting AC. If the measure of $\angle$ $B$ and the measure of arc AC $=4x+5$ ,what is the degree measure of $\angle ABC$ ?

Accepted Answer

$\angle B\ and\ \angle D$

Answer

$\angle B\ and\ \angle D$

Answer

$\angle B\ and\ \angle D$

Answer

$\angle B\ and\ \angle D$

Question 5

An angle inscribed in a semicircle is _______.

Accepted Answer

a right angle

Answer

an acute angle

Answer

an obtuse angle

Answer

a straight angle

Question 6

The opposite angles of a quadrilateral inscribed in a circle are ___.

Accepted Answer

supplementary

Answer

adjacent

Answer

complementary

Answer

vertical

Question 7

In a circle, an inscribed angle intersects an arc that measures $ABCD\$ . What is the measure of the inscribed angle?

Accepted Answer

$\angle B\ and\ \angle D$

Answer

$\angle B\ and\ \angle D$

Answer

$\angle B\ and\ \angle D$

Answer

$\angle B\ and\ \angle D$

Question 8

In circle A on ( figure below), what is $ABCD\$ if $\angle A$

Accepted Answer

$\angle B\ and\ \angle D$

Answer

$\angle B\ and\ \angle D$

Answer

$\angle B\ and\ \angle D$

Answer

$\angle B\ and\ \angle D$

Question 9

Find B+C+D+E+F, the angles at the tip of the star. ( See the figure attached.)

Accepted Answer

$\angle B\ and\ \angle D$

Answer

$\angle B\ and\ \angle D$

Answer

$\angle B\ and\ \angle D$

Answer

$\angle B\ and\ \angle D$

Question 10

Which of the following statements is true?

Accepted Answer

The measure of the inscribed angle is half the measure of its intercepted arc.

Answer

The measure of the intercepted arc is twice the measure of the central angle that intercepts it.

Answer

The measure of the inscribed angle is twice the measure of its intercepted arc.

Answer

The measure of the central angle is twice the measure of its intercepted arc.

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