Question

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​

Answer 1

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°

Step-by-step explanation:

Answer 2

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°