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•   Geometry
•   Objective: Exploring shape and space
•   Level 5

The keywords for each question in this search are:

Question 1: Angles; polygon
Question 2: Angles; parallel line; co-interior angles; supplementary angles
Question 3: Angles; polygon

 

QUESTION 1
a) In a quadrilateral, two of the angles each have a measure of 110°, and the measure of a third angle is 90°. What is the measure of the remaining angle?

(A)   50°
(B)   90°
(C)   130°
(D)   140°
(E)   None of the above

b)
These triangles are congruent. The measures of some of the sides and angles of the triangles are shown.

What is the value of x?

(A)   52
(B)   55
(C)   65
(D)   73
(E)   75
 
   

QUESTION 2

In this figure, lines AB and CD are parallel.

Two angles whose measures must add up to 180 are

(A)   1 and 3
(B)   4 and 6
(C)   2 and 5
(D)   2 and 7
(E)   1 and 8

 

QUESTION 3

In a quadrilateral, each of two angles has a measure of 115°. If the measure of a third angle is 70°, what is the measure of the remaining angle?

(A)   60°
(B)   70°
(C)   130°
(D)   140°
(E)   None of the above.