Question

13. a) Draw an angle of 65° using ruler and protractor.
b) (i) Angle measure of 270° is called a
angle.
(ii) When two rays form an angle, their common end point is called the
of the angle.​

Answer 1

QUESTION:

13. (a) Draw an angle of 65° using ruler and protractor.

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Aim:-

• To construct an angle of 65° using a ruler and a protractor.

Construction:-

• (Refer the attachments)

Steps of Construction:-

1. Take a sharpened pencil and draw a line segment using a ruler. Name it as $\sf{\overline{BC}}$.
2. Now, take a protractor and place it over $\sf{\overline{BC}}$ such that the baseline of the protractor coincides with $\sf{\overline{BC}}$ and midpoint of the baseline coincides with point $\sf{B}$.
3. Keep a dot where you find 65° (the mid point of 60° and 70°) in the inner scale of the protractor.
4. Name the dot (point) as $\sf{A}$.
5. Join the points $\sf{B}$ and $\sf{A}$, using a ruler.
6. Mark $\sf{\angle B}$ as 65°.
7. And finally, $\sf{\angle ABC}$ is the required angle.

_______________________________________

QUESTION:

13. (b) Fill in the blanks:

• i) An angle of measure 270° is called as _____.
• ii) When two rays form an angle, their common end point is called the _____ of the angle.

ANSWER:

• i) An angle of measure 270° is called as reflex angle.

An angle whose measure is more than 180° and less than 360° is called as reflex angle. For example, 210° is a reflex angle as it lies between 180° and 360°.

A.T.Q, we're asked- what type of angle does an angle of measure 270° belongs to. As 180° < 270° > 360°, it's a reflex angle.

• ii) When two rays form an angle, their common end point is called the vertex of the angle.

We know that, an angle is a figure, which is formed by two rays which meets at a common point. And that common point is named as the vertex of the angle. The two rays are the arms of the angle. Refer attachment 5 for a clear idea!

_______________________________________

Answer 2

Answer:

Aim:-

To construct an angle of 65° using a ruler and a protractor.

Construction:-

(Refer the attachments)

Steps of Construction:-

1. Take a sharpened pencil and draw a line segment using a ruler. Name it as $\sf{\overline{BC}}$
2. .Now, take a protractor and place it over $\sf{\overline{BC}}$ such that the baseline of the protractor coincides with$\sf{\overline{BC}}$ and midpoint of the baseline coincides with point $\sf{B}B .$
3. Keep a dot where you find 65° (the mid point of 60° and 70°) in the inner scale of the protractor.
4. Name the dot (point) as $\sf{A}A .$
5. Join the points $\sf{B}B and \sf{A}A$ , using a ruler.
6. Mark $\sf{\angle B}∠B as 65°.$
7. And finally, $\sf{\angle ABC}$∠ABC is the required angle.

_______________________________________

QUESTION:

13. (b) Fill in the blanks:

i) An angle of measure 270° is called as _____.

ii) When two rays form an angle, their common end point is called the _____ of the angle.

ANSWER:

i) An angle of measure 270° is called as reflex angle.

An angle whose measure is more than 180° and less than 360° is called as reflex angle. For example, 210° is a reflex angle as it lies between 180° and 360°.

A.T.Q, we're asked- what type of angle does an angle of measure 270° belongs to. As 180° < 270° > 360°, it's a reflex angle.

ii) When two rays form an angle, their common end point is called the vertex of the angle.

We know that, an angle is a figure, which is formed by two rays which meets at a common point. And that common point is named as the vertex of the angle. The two rays are the arms of the angle. Refer attachment 5 for a clear idea!