EXPRESS GROUP QUIZ ( GEOMETRY )

Figure not drawn to scale.

In the figure above, APB forms a straight line. If the measure of angle APC is eighty-one degrees larger than the measure of angle DPB, and the measures of angles CPD and DPB are equal, then what is the measure, in degrees, of angle CPB?

• A. 50

• B. 114

• C. 33

• D. 66

• E. 40

In the diagram, AB || CD. What is the value of a+b

• A. 140

• B. 80

• C. 160

• D. 60

• E. None of the above answers.

In rectangle ABCD, both diagonals are drawn and intersect at point E.  

Let the measure of angle AEB equal x degrees.

Let the measure of angle BEC equal y degrees.

Let the measure of angle CED equal z degrees.

Find the measure of angle AED in terms of x, y, and/or z.

• A. 180 – (x + y + z)

• B. 180 – 1/2(x + z)

• C. 360 – x + y + z

• D. 180 – 2(x + z)

• E. 180 – y

A student creates a challenge for his friend.  He first draws a square, the adds the line for each of the 2 diagonals.  Finally, he asks his friend to draw the circle that has the most intersections possible.

How many intersections will this circle have?

• A. 12

• B. 6

• C. 10

• D. 8

• E. 4

One-half of the measure of the supplement of angle ABC is equal to the twice the measure of angle ABC. What is the measure, in degrees, of the complement of angle ABC?

• A. 36

• B. 90

• C. 72

• D. 18

• E. 54

Two pairs of parallel lines intersect:

 

If A = 135^o, what is 2*|B-C| = ?

• A. 180

• B. 170

• C. 160

• D. 140

• E. 150

Lines AC and BD are parallel.  ∠HFC=10∘, ∠DGI=50∘, △EFG is a right triangle, and  EG¯¯¯¯¯¯¯¯ has a length of 10.  What is the length of  EF¯¯¯¯¯¯¯¯?

• A. 5

• B. 12

• C. 15

• D. 20

• E. None of the above.

If ∠A measures (40−10x)∘, which of the following is equivalent to the measure of the supplement of ∠A ?

• A. (10x+50)∘

• B. (100x)∘
  

• C. (140−10x)∘

• D. (50−10x)∘
  

• E. (10x+140)∘
  

In the following diagram, lines b and c are parallel to each other. What is the value for x?

• A. 80

• B. 60

• C. 100

• D. 30

• E. It cannot be determined.

The measure of the supplement of angle A is 40 degrees larger than twice the measure of the complement of angle A. What is the sum, in degrees, of the measures of the supplement and complement of angle A?

• A. 140

• B. 90

• C. 50

• D. 190

• E. 40