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Question

DEF is drawn with the length of side EF being 7.5 cm. If E is 75 and F is 55, then the measure of D is


A

40

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B

30

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C

50

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D

20

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Solution

The correct option is C

50


Steps of construction of DEF:

Step 1:
Draw the base line EF of the length 7.5 cm.

Step 2:
Measure the angle E with your protractor. Make a mark at 75 degrees and draw a line from E passing through the mark.

Step 3:
Measure the angle F with your protractor. Make a mark at 55 degrees and draw a line from F passing through the mark.

Step 4:
Name the point of intersection of these two lines as D and the DEF is complete, as shown below.

Now, from the above construction the measure of D is 50.


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