Practice30Create account

The angles of a quadrilateral are in arithmetic progression with common difference 10°. Find the smallest angle in radians.

Competition practiceTrigonometry
  • A5π/12
  • Bπ/3
  • Cπ/4
  • D7π/12

Step-by-Step Solution

a + (a + 10) + (a + 20) + (a + 30) = 360 gives a = 75°, which is 75π/180 = 5π/12.
Answer: A) 5π/12

Master this topic in 30 minutes a day.

Don't just memorise the answer — build a daily practice habit.

Practice 5 Similar Questions Free →

All Trigonometry practice questions

More Trigonometry practice

The two acute angles of a right triangle differ by π/10 radian. Find the larger one in…A 20 m ladder leans against a vertical wall and makes 60° with the ground. How high up…A boat is seen from the top of a 40 m high cliff at an angle of depression of 60°. How…The angle of elevation of the top of a tower from a point A on the ground is 45°. On…From a point B on the ground, the top of a tower is seen at an elevation of 60°. Moving…