Question

In a given figure PM and PN are tangent to the circle with center O at B and C respectively. If

MBA = 70° and ACN = 80° and BPC = x°, then the value of x is​

Answer 1

Answer:

X= 30° by using alternative angle is same

Answer 2

Answer:

120°

Step-by-step explanation:

After joining B,O and C,O we get that

angle ABO = 20 degrees and,

angle ACO = 10 degrees

so,

angle BAN + BOC = 330 degrees    (i)

angle BOC (reflex) = 2angle BAC and,

angle BOC (reflex) = 360 - BOC

so,

360 - BOC = 2BAN

or; BOC = 360 - 2BAN

now, putting it in eqn (i)

BAN + 360 - 2BAN = 330

BAN = 30