Suppose two adjacent angles are supplementary. Show that if one of them is an obtuse angle, then the other angle must be acute.
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Hey Dear,
◆ Proof with explanation -
Let A & B be two supplementary angles.
A + B = 180°
A = 180° - B
B = 180°-A
Suppose A is obtuse angle. i.e. A > 90°.
B < 180°-90°
B < 90°
Therefore, we can say that other angle must be acute.
Thanks dear. Hope this helps you understand...
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