Question

in the figure,o marks the centre of the circle. find the size of each unknown (lettered) angle.​

Answer 1

Step-by-step explanation:

draw line OM

to form two triangles MCO and MBO

MC=MB(given)

MOB=MOC=90°(OM perpendicular bisector)

OM=OM(common)

triangles MCO is congruent to MBO(RHS)

OMB=OMC (CPCT)

OM=OC (radii)

MCO=MBO(opposite angles are equal)

MCO

angle sum property MCO

x+90+1=180

angle sum property MBO

y+90+2=180

2x+m=180

180-2x=m