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How can we make a 70 degree angle with help of compass and ruler?
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How can we make a 70 degree angle with help of compass and ruler?
Creating a 70 Degree Angle with a Compass and Ruler
To construct a 70 degree angle using a compass and ruler, follow the steps below:
Step 1: Draw a Straight Line Segment
- Take a ruler and draw a straight line segment AB. This will serve as the base for constructing the angle.
Step 2: Set the Compass
- Place the compass at point A (the starting point of the angle).
- Adjust the compass width to any convenient length, and draw an arc intersecting the line segment AB. Label the point of intersection as C.
Step 3: Construct the Bisector
- Place the compass point at point C and draw an arc that intersects the previously drawn arc. Label the point of intersection as D.
- Without changing the compass width, place the compass point at point D and draw another arc that intersects the previously drawn arc. Label the point of intersection as E.
Step 4: Draw the Angle
- Take a ruler and draw a straight line segment from point C to point E. This line will cut the angle into two equal parts.
- Label the point of intersection between the line segment CE and the line segment AB as F. This is the vertex of the 70 degree angle.
Step 5: Measure the Angle
- Use a protractor to measure the angle FCB. It should measure approximately 70 degrees.
Step 6: Complete the Angle
- Take a ruler and draw a straight line segment from point F to point B. This will complete the angle.
Step 7: Verify the Angle
- Use a protractor to measure the angle FCB once again to ensure it measures 70 degrees.
By following these steps, you can construct a 70 degree angle using a compass and ruler. Remember to be precise and accurate with your measurements and constructions to achieve the desired result.
To construct a 70 degree angle using a compass and ruler, follow the steps below:
Step 1: Draw a Straight Line Segment
- Take a ruler and draw a straight line segment AB. This will serve as the base for constructing the angle.
Step 2: Set the Compass
- Place the compass at point A (the starting point of the angle).
- Adjust the compass width to any convenient length, and draw an arc intersecting the line segment AB. Label the point of intersection as C.
Step 3: Construct the Bisector
- Place the compass point at point C and draw an arc that intersects the previously drawn arc. Label the point of intersection as D.
- Without changing the compass width, place the compass point at point D and draw another arc that intersects the previously drawn arc. Label the point of intersection as E.
Step 4: Draw the Angle
- Take a ruler and draw a straight line segment from point C to point E. This line will cut the angle into two equal parts.
- Label the point of intersection between the line segment CE and the line segment AB as F. This is the vertex of the 70 degree angle.
Step 5: Measure the Angle
- Use a protractor to measure the angle FCB. It should measure approximately 70 degrees.
Step 6: Complete the Angle
- Take a ruler and draw a straight line segment from point F to point B. This will complete the angle.
Step 7: Verify the Angle
- Use a protractor to measure the angle FCB once again to ensure it measures 70 degrees.
By following these steps, you can construct a 70 degree angle using a compass and ruler. Remember to be precise and accurate with your measurements and constructions to achieve the desired result.
Community Answer
How can we make a 70 degree angle with help of compass and ruler?
Draw a straight line lengthwise across the middle of your sheet of paper, using the ruler as a straight edge. Then choose a spot on the line, about 4 inches from the edge of the paper, and draw a circle with the compass with a radius of 2.5 inches. Make sure the radius is as accurate as possible, and don't change the radius on the compass; you will need it at the same distance for the next step. Mark the center of the circle as point A and mark the point on the line where it crosses the circle closest to the edge of the paper point B.
Construct a 60 degree angle by placing the point of the compass at point B and sweeping the pencil to intersect the circle. Call this point C and draw a straight line from A to C. Angle CAB should be exactly 60 degrees.
Place the point of the compass at point C to brace the ruler's edge against. Then angle the ruler so that it passes through the circle to intersect the first line (now identified as line AB), somewhere outside the circle and near the center of the page. Notice that the ruler now crosses the circle twice, once at C and once on the way to where it intersects line AB.
Pivot the ruler around point C, adjusting the point at which it crosses line AB until you find the spot where it crosses AB exactly 2.5 inches away from where it crosses the circle. Mark this point on the line as point D. Angle CDB is exactly one third of angle CAB, or 20 degrees. Check it with the protractor.
Construct a line perpendicular to line AB and passing through line D. Start by drawing a circle centered on point D and then two larger circles centered on the points where the first circle intersects line AB. Connect the two points where these two larger circles intersect with a straight line, which should pass straight through D.
Mark as point E a point on this last line which is on the same side of line AB as point C. Because angle EDB is 90 degrees, and angle CDB is 20 degrees, angle EDC should be exactly 70 degrees. Check it with the protractor.
Read more on Brainly.in - https://brainly.in/question/2654220#readmore
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How can we make a 70 degree angle with help of compass and ruler? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about How can we make a 70 degree angle with help of compass and ruler? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How can we make a 70 degree angle with help of compass and ruler?.
How can we make a 70 degree angle with help of compass and ruler? for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about How can we make a 70 degree angle with help of compass and ruler? covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for How can we make a 70 degree angle with help of compass and ruler?.
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