Step 1: Understand that the sum of the interior angles of a pentagon is 540 degrees.

Step 2: Understand that the ratio given for the angles is 2:3:4:4:5. Add these numbers together to get a total of 18 parts.

Step 3: Each part of this ratio represents a portion of the total 540 degrees. To find out how much each part is worth, divide 540 by 18. This gives you 30 degrees.

Step 4: The largest angle is represented by 5 parts. Multiply 5 by the value of each part (30 degrees) to get the measure of the largest angle.

Step 5: The largest angle of the pentagon is 5 * 30 = 150 degrees.

So, the answer is E. 150º.

Question

Step 1: Understand that the sum of the interior angles of a pentagon is 540 degrees.

Step 2: Understand that the ratio given for the angles is 2:3:4:4:5. Add these numbers together to get a total of 18 parts.

Step 3: Each part of this ratio represents a portion of the total 540 degrees. To find out how much each part is worth, divide 540 by 18. This gives you 30 degrees.

Step 4: The largest angle is represented by 5 parts. Multiply 5 by the value of each part (30 degrees) to get the measure of the largest angle.

Step 5: The largest angle of the pentagon is 5 * 30 = 150 degrees.

So, the answer is E. 150º.

Knowee AI · Accepted Answer

Step 1: Understand that the sum of the interior angles of a pentagon is 540 degrees.

Step 2: Understand that the ratio given for the angles is 2:3:4:4:5. Add these numbers together to get a total of 18 parts.

Step 3: Each part of this ratio represents a portion of the total 540 degrees. To find out how much each part is worth, divide 540 by 18. This gives you 30 degrees.

Step 4: The largest angle is represented by 5 parts. Multiply 5 by the value of each part (30 degrees) to get the measure of the largest angle.

Step 5: The largest angle of the pentagon is 5 * 30 = 150 degrees.

So, the answer is E. 150º.

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