Sort the steps to construct an angle of 60-0-Draw nbsp-a nbsp-line nbsp-l nbsp-and nbsp-mention nbsp-a nbsp-point nbsp-O nbsp-on nbsp-it- nbsp-Join nbsp-O nbsp-and nbsp-B- nbsp-Extend nbsp-OB nbsp-to nbsp-get nbsp-a nbsp-ray-With nbsp-O nbsp-as nbsp-center nbsp-and nbsp-a nbsp-short nbsp-radius- nbsp-draw nbsp-an nbsp-arc nbsp-that nbsp-cuts nbsp-line nbsp-l nbsp- nbsp-at nbsp-A-With nbsp-A nbsp-as nbsp-center nbsp-and nbsp-the nbsp-same nbsp-radius nbsp-as nbsp-in nbsp-step nbsp-2- nbsp-draw nbsp-an nbsp-arc nbsp-that nbsp-cuts nbsp-the nbsp-first nbsp-arc nbsp-at nbsp-B-

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Byju's Answer

Standard IX

Mathematics

Introduction to Geometric Constructions

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Question

Sort the steps to construct an angle of $60^{0}$ .

Draw a line l and mention a point O on it .

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Join O and B . Extend OB to get a ray .

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With O as center and a short radius, draw an arc that cuts line l at A .

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With A as center and the same radius (as in step 2), draw an arc that cuts the first arc at B .

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Solution

Upon following the above steps, we obtain an angle of 60 $^{\circ}$
Hence, $∠ A O B = 60^{\circ}$

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Similar questions

Follow the following steps of constructions:
(a) Draw a line l and mention a point O on it.
(b) With O as center and a short radius, draw an arc that cuts line l at A.
(c) With A as center and the same radius (as in step 2), draw an arc that cuts the first arc at B.
(d) Join O and B. Extend OB to get a ray.
What is the measure of ∠AOB (in degrees)?

Follow the following steps of constructions:

1) Draw a line segment OA.

2) With O as center and a short radius, draw an arc that cuts OA at B.

3) With B as center and the same radius (as in step 2), draw an arc that cuts the first arc at C.

4) With C as center and the same radius (as in step 2), draw an arc that cuts the first arc at D.

5) With C and D as centers, draw two arcs with equal radii such that they intersect at E.

6) Join O and E. What’s the measure of $∠ A O E$ ?

If I do the following constructions step by step, what will be the angles constructed (in degrees)?

Step 1. Draw an arc on the line XY with an arbitrary point O on line XY, as centre and radius r. With the same radius and point of intersection of arc and line, ‘A’, as centre draw another arc on the first arc at point B. So, $∠ A O B$ is __.

Q. Steps for the construction of a 90° angle.

Choose the correct order.

1: Draw a ray OA.

2: With C and D as centres and radius more than half of CD, draw two arcs cutting each other at E. Join OE.

3: With O as centre and any convenient radius, draw an arc cutting OA at B.

4: With B as centre and the same radius, draw an cutting the first arc at C.

5: With C as centre and the same radius, draw an arc cutting again the first arc at D.

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Sort the steps to construct an angle of 600.

Upon following the above steps, we obtain an angle of 60∘ Hence, ∠AOB=60∘

Sort the steps to construct an angle of $60^{0}$ .

Upon following the above steps, we obtain an angle of 60 $^{\circ}$
Hence, $∠ A O B = 60^{\circ}$