1

Use the following figure to find the value of a + b + c .

 

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2

In the figure below, Find angle x, y and z

image

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3

Find the values of x and y in the following figure.

image

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4

 If AB is parallel to CD and PQ is a transversal. sketch the line segments and label on the same diagram the following pairs angles:

(i)  corresponding angles a and g.

(ii) alternate interior angles f and g, (iii) vertically opposite angles c and d.

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5

.Find the value of X in the following figure, given that m(BAC) = 50° and m(ABC) = 75°

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6

Given the following diagram, find the value of x in degrees

image

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7

Calculate the number of degrees that the hour hand of a clock moves through between 12:00 noon and 2:30 in the afternoon of the same day.

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8

In the figure below CB = BD = DA and angle ACD = x .

image

(i)  Show that angle ADE = 3x ,

(ii)  Calculate the measure of angle CDA if x = 39°.

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9

The difference in the measure of two supplementary angles is 102º. Find the two angles. 

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10

Find the size of angle image in the figure below.  

image 

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11

(i) Write the name of the polygon ABCD represented in the following figure.

image 

(ii) From the figure given in part (a) (i), find the values of x and y.

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12

Simplify the expression 7(3m + n) + 4(m ? 3n) ? m .

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13

.Find the value of x in the equation

image 

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14

If A and B are complementary angles such that A = 25° and B = x + 25° , find the value of x .

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15

 Calculate the size of the angle marked x in the following figure:

image 

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16

Use the following figure to:

image 

(i)Find the value of in and n.

(ii)Determine the number of triangles.

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17

Calculate the size of an interior angle of a regular nonagon.

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18

If A and B are complementary angles such that angle A is 18° less than angle B , determine the angles.

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19

In the following figure, AB is parallel to PQ - and RS is a transversal. Find the angles labeled a, b, w, x, y, and z.

image

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20

calculate the size of angle x and y in the following figure:

image 

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