Advertisements
Advertisements
प्रश्न
With the help of a ruler and a compass it is not possible to construct an angle of ______.
विकल्प
37.5°
40°
22.5°
67.5°
Advertisements
उत्तर
With the help of a ruler and a compass it is not possible to construct an angle of 40°.
Explanation:
Considering option (A):
`37.5^circ = 1/2 xx 75^circ`
75° can be constructed with the help of a ruler and a compass.
Considering option (B):
`40^circ = 1/2 xx 20^circ`
This is not possible.
20° cannot be constructed with the help of a ruler and a compass.
Considering option (C):
`22.5^circ = 1/2 xx 45^circ`
45° can be constructed with the help of a ruler and a compass.
Considering option (D):
`67.5^circ = 1/2 xx 135^circ`
= `1/2 xx (90^circ + 45^circ)`
Both 90° and 45° can be constructed with the help of a ruler and a compass.
Hence, option (B), is not possible to construct an angle of 40° with the help of ruler and compass is the correct answer.
APPEARS IN
संबंधित प्रश्न
Construct a ΔABC in which BC = 3.6 cm, AB + AC = 4.8 cm and ∠B = 60°.
Construct a triangle whose perimeter is 6.4 cm, and angles at the base are 60° and 45° .
Construct a right-angled triangle whose perimeter is equal to 10 cm and one acute angle equal to 60°.
Construct a triangle XYZ in which ∠Y = 30°, ∠Z = 90° and XY + YZ + ZX = 11.
The construction of a triangle ABC, given that BC = 6 cm, ∠B = 45° is not possible when difference of AB and AC is equal to ______.
The construction of a triangle ABC, given that BC = 3 cm, ∠C = 60° is possible when difference of AB and AC is equal to ______.
An angle of 52.5° can be constructed.
An angle of 42.5° can be constructed.
Construct a triangle ABC in which BC = 5 cm, ∠B = 60° and AC + AB = 7.5 cm.
Construct the following and give justification:
An equilateral triangle if its altitude is 3.2 cm.
