Question

in the adjoining figure O is the centre then the value of x is....
please tell me ​

Answer 1

Answer:

x=70°

Step-by-step explanation:

Since the ∆OPQ and ∆OPR has two of its sides as the radius of the circle ( OQ, OP, OR) they are isosceles triangles..So the angles opposite to the equal sides (OQ, OP, OR) are equal. so 2y+80°=180°(angle sum property)

2y=180°-80°

2y=100°

y=100°/2=50°

and x = y + z ( where z is the two angles of the ∆OPQ, z=20° found out by the same method)

x =50°+20°=70°

there fore x equal to 70° is the answer..

hope it was helpful

good evening mate..