Angles and Quadrilaterals

Quadrilateral ABCD is inscribed in the circle. Which sentence is true?

• A and B are supplementary

• A and C are supplementary

• m∠ A = m∠ B

• m∠ C = m∠ D

Find a and b.

• a=74 degrees
  b=93 degrees

• a=93 degrees
  b=74 degrees

• a=87 degrees
  b=106 degrees

• a=106 degrees
  b=87 degrees

The inscribed angle is ____ the measure of the intercepted arc.

• congruent to

• half

• double

• supplementary to 

How do you find the question mark?

• divide 198 by 2.

• multiply 198 by 2.

What is the value of inscribed angle STU?

• A

• B

• C

• D

The intercepted arc of an inscribed angle  is ___________________ the measure of the inscribed angle.

• congruent to

• half

• double

• supplementary to 

Find the measure of angle R.

• 32

• 24

• 22

• 47

What theorem relates to angles inscribed in a quadrilateral?

• Opposite Angles are Congruent

• Opposite Angles are Supplementary

• All angles in a quadrilateral add to 180 degrees

• All angles in a quadrilateral equal 90 degrees