the difference between opposite angles of a cyclic quadrilateral is 36 degree is smaller angle is P then measure of angle P is equals to what
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Answer:Let x be the smaller angle. Then bigger angle will be x+36. Now, sum of opposite angles of a cyclic quadrilateral is 180°
Therefore, x+(x+36°)=180°
2x+36°=180°
2x=180°-36°
2x=144°
x=144°/2
Therefore, x=72°
Hence the smaller angle is 72°
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Answer:
Let a be the smaller angle. Then bigger angle will be a+36. Now, sum of opposite angles of a cyclic quadrilateral is 180°
Therefore, a+(a+36°)=180°
2a+36°= 180°
2a=180°-36°
2a=144°
so, a=144°/2
Therefore, x=72°
So, the smaller angle is 72°
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