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Given
larger angle is 36 more than smaller
let smaller angle=x
then larger angle=x+36
they are supplrmentary angles then(x)+(x+36)=180
2x=180-36
2x=144
x=144/2
x=72
therefore small angle=72
then large angle=x+36=72+36=108
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Among two supplementary angles , the measure of the larger angle is 36° more than the measure of the smaller angle . Find their measures .
Supplementary Angle :
- When the sum of the angles is 180° , then the two angles are called supplementary angles.
Let the measure of the smaller angle be x°.
So the measure of the larger one = ( 180 - x )°.
According to question
The measure of the larger angle is 36° more than the measure of the smaller angle.
Their measure :
- Smaller angle = x° = 72°.
- Larger angle = (180-x)° = 180 - 72 = 108.
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