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An angle of measure 140^@ is...

An angle of measure `140^@` is

A

Acute angle

B

Obtuse angle

C

Straight line angle

D

Complete angle

Text Solution

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The correct Answer is:
To determine the type of angle that measures 140 degrees, we can follow these steps: ### Step 1: Understand the Types of Angles - **Acute Angle**: An angle that measures less than 90 degrees. - **Obtuse Angle**: An angle that measures greater than 90 degrees but less than 180 degrees. - **Straight Angle**: An angle that measures exactly 180 degrees. - **Complete Angle**: An angle that measures exactly 360 degrees. ### Step 2: Analyze the Given Angle - We are given an angle that measures **140 degrees**. ### Step 3: Compare the Given Angle with Angle Types - **Check if it is Acute**: - Since 140 degrees is greater than 90 degrees, it cannot be an acute angle. - **Check if it is Obtuse**: - 140 degrees is greater than 90 degrees and less than 180 degrees, so it fits the definition of an obtuse angle. - **Check if it is Straight**: - 140 degrees is not equal to 180 degrees, so it is not a straight angle. - **Check if it is Complete**: - 140 degrees is not equal to 360 degrees, so it is not a complete angle. ### Step 4: Conclusion - Since 140 degrees is greater than 90 degrees and less than 180 degrees, it is classified as an **obtuse angle**. ### Final Answer An angle of measure 140 degrees is an **obtuse angle**. ---
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