Question

24. P is the centre of the circle. If A is a point on the circle such that
angleBPA = 135º, then find the measure of angleX
​

Answer 1

Step-by-step explanation:

Join AC

Now

as we know that

angle subtended by the chord at centre =2(angle subtended by it at any point on circle.

which implies ang(APC)=2(ADC)

ang(APC)=180-35=45

SO ang(ADC)=45÷2=22.5

Answer 2

angle APC = 180 - 135° (linear pair)

angle APC = 45°

Now we know that angle formed at center by an arc in a circle is double the angle formed by it at any point on the circle ,

so , angle x = angle APC÷2

answer : 22.5°