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Kritika Trehan 7 years, 10 months ago
Radius: The distance from the center of the circle to its outer rim.
Chord: A line segment whose endpoints are on a circle.
Diameter: A chord that passes through the center of the circle. The length of a diameter is two times the length of a radius.
Secant: A line that intersects a circle in two points.
Tangent: A line that intersects a circle in exactly one point.
Point of Tangency: The point where a tangent line touches the circle.
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Kritika Trehan 7 years, 10 months ago
1). Use Ruler and draw a Line segment BC of any convenient length. (as shown below)
<a href="http://images.algebraden.com/geometry/big/construct-120-degree-angle-with-compass.jpg" target="_blank">
</a>
2). Now use compass and open it to any convenient radius. And with B as center , draw an arc which cuts line segment BC at Q . (as shown below)
<a href="http://images.algebraden.com/geometry/big/construct-120-degree-angle-with-compass-2.jpg" target="_blank">
</a>
3). Again use compass and opened to the same radius (as of step 2). And with Q as center , draw an arc which cuts first arc at R . (as shown below)
<a href="http://images.algebraden.com/geometry/big/construct-120-degree-angle-with-compass-3.jpg" target="_blank">
</a>
4). Again use compass and opened to the same radius (as of step 2). And with R as center , draw another arc which cuts first arc at P . (as shown below)
<a href="http://images.algebraden.com/geometry/big/construct-120-degree-angle-with-compass-4.jpg" target="_blank">
</a>
5). Join BP and extent it to A . (as shown below)
<a href="http://images.algebraden.com/geometry/big/construct-120-degree-angle-with-compass-5.jpg" target="_blank">
</a>
6) Above formed angle ABC = 120 Degree
Posted by Manoj Shrivastava 7 years, 10 months ago
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Vrinda Sharma 7 years, 10 months ago
Kritika Trehan 7 years, 10 months ago
Construction of 75° angle:

Step 1: Draw a line AB and mark a point O on it.
Step 2: Draw a ray OP such that ∠AOP = 90°
Step 3: Now draw another ray OQ such that ∠AOQ = 60°
Step 4: Draw the bisector of ∠POQ = 30°. Mark the bisector as OR.
Step 5: Hence ∠AOR =75°

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Hardeep Singh 7 years, 10 months ago
2Thank You