Step 4. Now, change the radius to R. Draw an arc such that it intersects line XY at E and line OD at F. Draw arcs with radius R and centres at E and F respectively such that they intersect at G. The $∠ G O E$ is __.
Note: Answer in degrees.

Open in App

Solution

Statement: Now change the radius to R. Draw an arc such that it intersects line XY at E and line OD at F. Draw arcs with radius R and centres at E and F respectively such that they intersect at G. The $∠ G O E$ is $45^{\circ}$ .
Reason: When we take a fixed radius and draw two arcs by putting the compass pointer at both the arms forming an angle such that the arcs intersect each other, the point of intersection actually bisects that angle.Therefore $∠ G O E = \frac{1}{2} ∠ D O A = 45^{\circ}$ .

Suggest Corrections

Similar questions

Step 5. Draw 2 arcs with centres A and B respectively with radius R. If the arcs intersect at H, value of $∠ H O A$ is __.
Note: Answer in degrees.

Pavan tried to draw a line parallel to a given line, 'l'. Few steps are shown below. What will be the next step?

Step 1: Mark a point A, not on the line 'l'.
Step 2: Mark point B on line 'l'.
Step 3: Draw line segment joining points A and B.
Step 4: Draw an arc with B as the centre, such that it intersects line 'l' at D and AB at E.

Step 3: With r as radius, draw arcs with B and C as centres. The point of intersection of the arcs is point D. $∠ D O A$ is__
Note: Answer in degrees.

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 __.

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 $∠ A O E$ ?

Join BYJU'S Learning Program

Step 4. Now, change the radius to R. Draw an arc such that it intersects line XY at E and line OD at F. Draw arcs with radius R and centres at E and F respectively such that they intersect at G. The ∠GOE is __. Note: Answer in degrees.

Step 4. Now, change the radius to R. Draw an arc such that it intersects line XY at E and line OD at F. Draw arcs with radius R and centres at E and F respectively such that they intersect at G. The $∠ G O E$ is __.
Note: Answer in degrees.