Construction of 60 degree Angle and Its Proof

Q.

One of the acute angles of a right triangle is $42°$. Find the other acute angle.

Q.

If two angles of a triangle are $40°$ and $80°$, then the third angle is

1. $90°$

2. $80°$

3. $60°$

4. $45°$

Q.

Write True or False :

The sum of the angles of a triangle is equal to the two right angles.

1. True
2. False

Q.

The three angles of a triangle are in the ratio $1:2:3$. The measure of the smallest angle is$\_\_\_\_\_\_$

Q.

Question 6
$\Delta ABC$ is an isosceles triangle in which AB = AC. Side BA is produced to D such that AD = AB (see the given figure). Show that $\angle BCD$ is a right angle.

Q.

Look at the figure given below. State for each triangle whether it is acute, obtuse or right.

Q.

An Isosceles triangle has two equal angles as ${46}^{\circ }$ each. What is the third angle?

Q.

Write True or False :

A triangle can have all angles less than $60$$°$.

1. True
2. False

Q.

If the difference of two complementary angles is 10°, then the smaller angle is _____.

1. 50°

2. 40°

3. 0°

4. 45°

Q. Difference between two complementary angles is 30 degrees. The angles are ____ (in degrees).

1. 45, 45
2. 35, 65
3. 40, 50
4. 30, 60

Q. Difference between two complementary angles is 30 degrees. The angles are ____ (in degrees).

1. 45, 45
2. 30, 60
3. 35, 65
4. 40, 50

Q.
$\angle CAB={60}^{\circ }$, the value of $\angle CBD$ is

1. 120

Q.
$\angle CAB={60}^{\circ }$, the value of $\angle CBD$ is

1. 120

Q. Choose those times at which the minute hand of a clock is perpendicular to the hour hand.

1. 4:00
2. 9:00
3. 6:30
4. 3:30

Q. All angles in an equilateral triangle are equal to ______.

1. 60°
2. 45°
3. 90°
4. 30°

Q.

One of the angles of a triangle is $60°$. The other two angles are in the ratio $2:3$. The measure of the smallest angle is$\_\_\_\_\_\_$

Q.

One of the angles of a triangle is $50°$. The other two angles are in the ratio $6:7$. The measure of the greatest angle is$\_\_\_\_\_$

Q. All the angles in an equilateral triangle is equal to?

1. 30 degrees
2. 90 degrees
3. 60 degrees
4. 45 degrees

Q.
$\angle CAB={60}^{\circ }$, the value of $\angle CBD$ is

1. 120

Q. Two angles are said to be complementary if their sum is ${90}^{\circ }.$

1. True
2. False

Q. A ${60}^{\circ }$ angle is constructed with arc radius as 3 cm. Find the perimeter of the $△BOC$.

1. 3 cm
2. 6 cm
3. 9 cm
4. 12 cm

Q. A ${60}^{\circ }$ angle is constructed with arc radius as 3 cm. Find the perimeter of the $△BOC$.

1. 3 cm
2. 6 cm
3. 9 cm
4. 12 cm

Q. A ${60}^{\circ }$ angle is constructed with arc radius as 3 cm. Find the perimeter of the $△BOC$ in cm.

1. 9

Q. In the figure, if line m and n are parallel and line p is a transversal then find x.

1. 135 degree
2. 45 degree
3. 90 degree
4. 40 degree

Q. All angles in an equilateral triangle are equal to ______.

1. 60°
2. 45°
3. 90°
4. 30°

Q. With the help of a ruler and a compass, it is not possible to construct an angle of

1. 40 degree
2. 105 degree
3. 30 degree
4. 75 degree

Q.

The angles of a triangle are in A.P. If the greatest angle is twice the least, find the greatest angle.

1. ${40}^{\circ }$

2. ${80}^{\circ }$

3. ${60}^{\circ }$

4. ${100}^{\circ }$

Q.

The measures of the angles of a triangle are in the ratio $2:3:5.$Find the measures of the angles.

Q. Difference between two complementary angles is 30 degrees. The angles are ____ (in degrees).

1. 35, 65
2. 45, 45
3. 40, 50
4. 30, 60

Q. If the angles of a triangle are in the ratio 2:3:4, find the respective angles(in degrees).

1. 40, 60 & 80
2. 80, 60 & 40
3. 60, 40 & 80
4. 50, 60 & 70