two angles are supplementary one of them acute angle which of these could be the of the Other angle
Answers
Answer: obtuse angle
Step-by-step explanation:
Supplementary angle = sum is 180
if one angle is acute i.e, <90°
So other angle must be 180- acute angle = obtuse angle
Given: two angles are supplementary one of them acute angle
To Find: the Other angle
Solution:
Two angles are said to be supplementary if their measures adds up to 180°.
Acute angles measure between 0° and 90°
Obtuse angle measure between 90° and 180°
Right angle measures 90°
0° < Acute angle < 90°
90° < obtuse angle < 180°
Right angle = 90°
one angle is acute
Let say other angle = x
x + Acute angle = 180°
=> x = 180° - Acute angle
0° < Acute angle < 90°
Multiplying by -ve
=> 0° > -Acute angle > -90°
Adding 180° each side
=> 180° > 180° - Acute angle > 90°
=> 180° > x > 90°
Hence x is obtuse angle
two angles are supplementary one of them acute angle then other is OBTUSE angle
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