Consider the following statements Statement I The angle between two planes is twice the angle between their normals. Statement II If θ is the angle between two planes, then 180-θ is also the angle between same planes. Choose the correct option.

Question

Consider the following statements Statement I The angle between two planes is twice the angle between their normals. Statement II If θ is the angle between two planes, then 180-θ is also the angle between same planes. Choose the correct option. (A) Statement 1 is true (B) Statement II is true (C) Both statements are true (D) Both statements are false

Tardigrade Admin · Accepted Answer

The angle between two planes is defined as the angle between their normals [Fig (a)]. Observe that, if θ is an angle between the two planes, then so is 180-θ[ Fig (b)].

Q. Consider the following statements
Statement I The angle between two planes is twice the angle between their normals.
Statement II If $θ$ is the angle between two planes, then $180 - θ$ is also the angle between same planes. Choose the correct option.

Statement 1 is true

Statement II is true

Both statements are true

Both statements are false

The angle between two planes is defined as the angle between their normals [Fig (a)]. Observe that, if $θ$ is an angle between the two planes, then so is $180 - θ [F i g$ (b)].

Q. Consider the following statements Statement I The angle between two planes is twice the angle between their normals. Statement II If θ is the angle between two planes, then 180−θ is also the angle between same planes. Choose the correct option.