Justification: 42.5° = ½ × 85° We know that, It is possible to construct 85° with the help of ruler and compass. Therefore, angle of 42.5° cannot be constructed.

Can an angle of 42.5 be constructed * True False?

False, because 42.5° = 1/2 x 85° and 85° cannot be constructed.

Can we construct 30 degree angle?

Place the compass point at B, and using the same radius, strike another arc within the rays. Label as C the point of intersection of the two arcs. Draw a straight line from the angle's vertex to point C. That line bisects the 60° angle, forming two 30° angles.

Which angle Cannot be constructed using ruler and compass?

We know that using ruler and compass we can only draw angles which are multiples of 15 degree. 15,45,75 degree all are multiples of 15 and only 85 is not the multiple so we cannot draw it using ruler and compass.

How do you construct a 75 degree angle?

How to Construct 75 degree Angle

1. Step 1: Draw a line segment with endpoint O and A.
2. Step 2: Draw an arc with O as centre cutting the line segment OA at point B with a compass.
3. Step 3: Keeping the radius same, Draw an arc with B as centre cutting the arc at C.

An angle of `42.5^(@)` can be constructed.

16 related questions found

How do you construct a 35 degree angle?

Expert Answer:

1. The angles which are multiples of 15 can only be constructed using ruler and compass. Rest of the angles can be constructed using protractor.
2. For, 35 degree angle, first construct 70 degree (2 x 35) using protractor and then bisect that angle.
3. Here, angle POQ = 75 degree.
4. And, angle POT = 30 degree.

How do you make a 105?

Expert Answer:

1. draw 120 degree angle.
2. then draw 90 degree angle.
3. the angle between the two rays will be 30 degree, draw the angle bisector.
4. now 90 + 15 = 105.

Which type of angle can be constructed by compass?

Expert Answer:

• you have to make angle of 60 first.
• now using angle bisectors you can construct angles.
• so angles which are multiple of 15 can be constructed.
• so 15,30,45,60,.....
• also half of above angles can be also constucted by bisecting angles.
• so 67.5 double is 135 which is multiple of 15 can be constructed.

Which of the following angles can be constructed with the help of a ruler and a pair of compass?

There is an interesting fact that only angles that are divisible by 15 can be constructed by ruler and compass only. Hope this helps you.

Which of the following angles can be constructed by using ruler and compass only?

60^o angle can be constructed using compass and ruler only.

What is a 35 degree angle called?

Acute Angle:

An angle whose measure is more than 0° but less than 90° is called an acute angle. Angles having magnitudes 30°, 40°, 60° are all acute angles.

What is the complementary angle of 35?

Answer: Complementary angles sum is 90 degree. x=55 degree. Therefore, 55° is the complement of 35°.

What angle is 45 degree?

In a right angle, the two arms are perpendicular to each other. When the right angle is divided into two equal parts each angle measures 45°.

How do you make a 120?

Constructing a 120° Angle: 120° angle can be constructed using the logic that 60° + 120° = 180°. Thus, we can understand that in order to construct 120° we can construct 60° angle and then further extend one of its arms as shown below in the figure.

What angle is 180 degree?

An angle that measures 180 degrees is called a straight angle. Whenever we construct a 180-degree angle, it always forms a straight line, that is why it is known as a straight angle.

What is a 75 degree angle called?

As 75°is less than 90°it is an acute angle..

What is the angle of 120 degree called?

obtuse angle. The angle measure ranges from 90° to 180°. An obtuse angle can also be found out if we have the measure of the acute angle. In the picture above, line segment DO intersects line segment OQ at point O and forms an angle DOQ measuring 120°. Thus, it is an obtuse angle.

Which angle is 148 degree?

Explanation: A type of angle whose measurement is greater than 90° and less than 180° is called an Obtuse Angle. As we can see that, 148° is greater than 90° and less than 180° hence, it is an obtuse angle.

Which of the following angles Cannot be constructed by using ruler and a pair of compasses only?

But 40° cannot be drawn.

In which of the following cases can a triangle be constructed?

Measures of three sides are given. Measures of two sides and an included angle are given. Measures of two angles and the side between them are given.

Which of the following can be constructed using ruler and pair of compasses only?

Step-by-step explanation:

any multiple of 7.5 can be constructed with ruler and compass only...