Using the properties of a rectangle to find the missing value of an angle

The video tutorial covers the properties of rectangles, focusing on angles and diagonals. It explains that opposite sides are congruent and parallel, and that diagonals are congruent but do not bisect angles. The tutorial also discusses how consecutive angles are supplementary and all angles in a rectangle are 90 degrees. The instructor solves an equation to find the measure of specific angles, emphasizing the importance of understanding different types of angles in rectangles.

Which of the following is a property of a rectangle?

• All sides are equal

• Opposite sides are congruent

• Diagonals bisect the angles

• All angles are 45 degrees

What is the measure of each angle in a rectangle?

• 60 degrees

• 45 degrees

• 120 degrees

• 90 degrees

What do consecutive angles in a rectangle add up to?

• 270 degrees

• 360 degrees

• 180 degrees

• 90 degrees

If two angles in a rectangle add up to 90 degrees, what are they called?

• Supplementary

• Complementary

• Parallel

• Congruent

What is the equation derived to find the measure of angles formed by diagonals in a rectangle?

• 2X + 4 + 3X + 1 = 45

• 2X + 4 + 3X + 1 = 180

• 2X + 4 + 3X + 1 = 90

• 2X + 4 + 3X + 1 = 360

What is the value of X when solving the equation 5X + 5 = 90?

• 16

• 18

• 15

• 17

What is the measure of angle BAC if X is 17?

• 53

• 52

• 51

• 50