Find the measure of an angle whose supplement is equal to the angle itself .
Answers
Answered by
130
Let the angle = x
Supplement of angle= 180-x
ATQ
180-x = x
180 = 2x
x = 90°
And its supplement will be 180-90=90°
Hope this is helpful:)
Supplement of angle= 180-x
ATQ
180-x = x
180 = 2x
x = 90°
And its supplement will be 180-90=90°
Hope this is helpful:)
Answered by
39
Answer:
Required angle is x° = 90°
It's supplementary angle = 180-x
= 180°-90°
= 90°
Explanation:
Supplementary angles:
Sum of any two angles equal to 180° are called supplementary angles.
Let one angle = x°
It's supplement = (180°-x)
According to the problem given,
"the measure of an angle whose supplement is equal to the angle itself ."
x= (180°-x)
=> x+x=180°
=> 2x=180°
=> x = 180°/2
=> x = 90°
Therefore,
Required angle is x° = 90°
It's supplementary angle = 180-x
= 180°-90°
= 90°
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