Find the number of degrees in an angle which is 0.2 times a straight line angle.

2011

Find the number of degrees in an angle which is 0.2 times a straight line angle.

  1. A.

    20 degrees

  2. B.

    32 degrees

  3. C.

    36 degrees

  4. D.

    45 degrees

Attempted by 3 students.

Show answer & explanation

Correct answer: C

Concept: A straight line angle is the angle formed by two rays pointing in exactly opposite directions along a straight line, and it always measures 180 degrees.

  1. Straight line angle = 180 degrees.

  2. The required angle is 0.2 times this straight line angle.

  3. Required angle = 0.2 × 180 degrees = 36 degrees.

Cross-check: 0.2 is equivalent to the fraction 1/5, and one-fifth of 180 degrees is 180 ÷ 5 = 36 degrees, confirming the result by a second method.

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