Q-1 The difference in the measures of two complementary angle is 12. Find the measure of the angle.
Q-2 Among the two supplementary angle the measure of the larger angle is 44 more than the measure of the smaller angle. Find the measure.
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Answer:
Q1. Let the smaller angle be x.
Larger angle = x+12
=> x+x+12 = 90°
=> 2x = 90-12
=> 2x = 78°
=> x = 39°
Therefore, smaller angle = 39°
Larger angle = (39+12)° = 51°
Q.2 Let the smaller angle be y.
Larger angle = y+44
=> y+y+44 = 180°
=> 2y = 180-44
=> 2y = 136°
=> y = 136/2
=> y = 68°
Therefore, the smaller angle is 68°.
Larger angle = (68+44)° = 112°
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