Write the reflex angle corresponding to 125 degree
Answers
Answer:
reflex angle is an angle which is more than 180 degrees and less than 360 degrees. For example, 270 degrees is a reflex angle. In geometry, there are different types of angles such as acute, obtuse and right angle, which are under 180 degrees.
The reflex angle corresponding to 125° is 235°.
Concept used:
Reflex angle:
- An angle whose measure is greater than 180° and less than 360° is called a reflex angle. 180° < Reflex angle < 360°
Acute angle:
- An Angle whose measure is less than 90° is called an acute angle. 0° < Acute angle < 90°
Obtuse angle:
- An angle whose measure is greater than 90° and less than 180° is called an obtuse angle. 90°< Obtuse angle < 180°
We can find the reflex angle for every acute and obtuse angle by subtracting acute and obtuse angle from 360°.
Let, X is an acute or obtuse angle, and R is the reflex angle, then we get:
R = 360° - X
Given:
Obtuse angle: 125°
To find: The reflex angle corresponding to 125°.
Solution:
Step 1: Subtract 360° from the given angle:
Here 125° is an obtuse angle, and R is the reflex angle, then:
X + R = 360°
R = 360° - 125°
R = 235°
Hence, the reflex angle corresponding to 125° is 235°.
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