Courses
Courses for Kids
Free study material
Offline Centres
More
Store Icon
Store
seo-qna
SearchIcon
banner

A light ray is incident on a plane mirror, which after getting reflected strikes another plane mirror, as shown in figure. The angle between the two mirrors is 60. Find the angle θ is shown in figure.
seo images

Answer
VerifiedVerified
414.3k+ views
like imagedislike image
Hint : In this question, we will use angle sum property. A triangle containing three angles and three sides and a pair of neighbouring sides bound each vertex. In a Euclidean period, the sum of triangle angles equals 180 degrees. It does not matter if the triangle is obtuse, an acute, or a right triangle; the sum of all angles will be 180 degrees. Thus, the angle sum property says that the sum of the triangle angles is equal to 180 degrees.

Complete step-by-step solution:
The angle between the two mirrors is 60.
Let A=2x
B=2y
This gives,
OAB=90x
OBA=90y
seo images

In triangle OAB,
Using sum of angle property,
60+(90x)+(90y)=180
60xy=0
x+y=60
Now, we will apply sum of angle property,
θ+2x+2y=180
Put x+y=60 in above formula:
θ+2(60)=180
θ=180120=60
Hence, the angle θ is 60.

Note: A mirror is a reflective covering that light does not move through but bounces off, producing an image. Mirrors are formed by putting a thin coating of silver nitrate or aluminium following a smooth piece of glass. When we place an object in the face of a mirror, we see the identical object in the mirror.