write the measure of an angle which is its own supplementary angle
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Answer- The above question is from the chapter 'Lines and Angles'.
Supplementary Angles: Two angles on a straight line are said to be supplementary if sum of their measures is 180°.
Examples:
1) 80° and 100°
2) 20° and 160°
3) 30° and 150°
4) 45° and 135°
5) 90° and 90°
To find supplement of a given angle x, we must subtract x from 180°.
Given question: Write the measure of an angle which is its own supplementary angle.
Solution: Let the two equal angles be x and x.
x + x = 180°
2x = 180°
x = 180° ÷ 2
x = 90°
∴ The angle which is its own supplementary angle = 90°.
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90
the answer is 90
the angle having its own supplement is 90
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