Question

Draw a circle. Mark 8 points on its boundary. Join 2 points
at a time to get 4 diameters.
1. Name all line segments and all angles obtained.
2. Colour all parts (known as sectors) with different
colours.
3. Measure all 8 angles and find their sum of identify the
supplementary and complementary angles.
plz answer

Answer 1

Answer:

Step-by-step explanation:

Concept:

The concept of geometry is used to solve or draw the circle.

Given:

There will be $8$ points on the boundary of the circle . $2$ points at a time have to be added to get $4$ diameters.

To find:

We have to give name all line segments and all angles obtained, Colour all parts (known as sectors) with different colours, Measure all 8 angles and find their sum of identify the supplementary and complementary angles.

Solution:

Here the points in the boundary of the circle is $A, B, C, D, E, F, G, H$ .

The line segments are $OA, OB, OC, OD, OE, OF, OG, OH$ .

The angles which are obtained are $< AOB , < BOC, < COD, < DOE, < EOF, < FOG, < GOH, < HOA$ .

Different parts are coloured in the image of the circle.

All the $8$ angles are equal.So each angle is $\frac{360}{8} =45^\circ$ .

The supplementary angle of $45^{\circ}$ is $180-45=135^{\circ}$ .

The complementary  angle of $45^{\circ}$ is $360-45=315^{\circ}$ .

The sum of supplementary and complementary angle is $135+315=450^{\circ}$

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