• Math

  Quadrilaterals

  Posted by Prateek on February 6, 2024 at 2:05 pm

  Calculate all the angles of a quadrilateral if they are in the ratio 2:5:4:1.

  Kidpid Team replied 1 year, 2 months ago 2 Members · 1 Reply

  • Quadrilaterals
• 1 Reply

• 

  Kidpid Team

  Member

  February 10, 2024 at 6:06 pm

  To calculate the angles of a quadrilateral when given the ratio of their measures, follow these steps:

  Step 1: Sum the ratios to find the total number of parts.

  2 + 5 + 4 + 1 = 12

  Step 2: Calculate the value of each part.

  360 degrees (sum of angles in a quadrilateral) / 12 (total number of parts) = 30 degrees per part

  Step 3: Multiply each part by the corresponding ratio to find the measure of each angle.

  2 parts * 30 degrees = 60 degrees

  5 parts * 30 degrees = 150 degrees

  4 parts * 30 degrees = 120 degrees

  1 part * 30 degrees = 30 degrees

  Therefore, the angles of the quadrilateral are:

  60 degrees, 150 degrees, 120 degrees, and 30 degrees.

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