Respuesta :

a)Measure of full arc in a circle is 360 degree.

Measure of arc EFG = 298 given.

So Measure of arc EG= 360-298=62 degrees.

An Angle formed by a chord and a tangent that intersect on a circle is half the measure of the intercepted arc

<GEH= half of intercepted arc EG

<GEH= Half of 62=31 degeees.

<GEH=31 degrees

b)Tangent makes an angle of 90 degree with radius or diameter.

In figure <HEF=90 degrees

<FEG=<FEH-<GEH

<FEG=90-31=59 degrees

<FEG= 59 degrees