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Question

ABC is constructed such that AB = 5.5 cm, BC = 6 cm and A = 60. Then the difference between the measure of B and C is


A

7

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B

12

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C

14

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D

17

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Solution

The correct option is C

14


Step 1:
Draw the base line AB of the length 5.5 cm.

Step 2:
Measure the angle A with your protractor. Make a mark at 60 degrees and draw a line from A passing through the mark.

Now we must locate C. It should be 6 centimetres from B and also should be on the upper line, in order to form the required triangle. All points at a distance of 6 cms from B are on the circle centred at B of radius 6 cm. Thus we have the next step.

Step 3:
Draw a circle with centre at B and radius 6 cm. The point at which this circle cuts the line through A is the required point C.

Thus ABC is formed.

From the above construction, we see that the measure of angle B is 67 and measure of angle C is 53.

Now, measure of angle B - measure of angle C = 67 - 53 = 14


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