Respuesta :

Answer:

Step-by-step explanation:

g is a central angle for arc PQ

= 2 * segment angle of arc PQ

= 2 * <PRQ

= 2 * (180 - 114)

= 2 * 66

= 132 degree

Drawing is a little confusing about f and assuming f is <PQO

<PQO = <QPO because OPQ is an isosceles triangle

The sum of interior angles of a triangle = 180 degree

f + f + g = 180

2f = 180 - 132 = 48

f = 24 degree

Edit: Thank you, fieryanswererft, for pointing out my mistake!

Answer:

g = 132° , f = 24°

Step-by-step explanation:

∠ PRQ = 180° - 114° = 66°

the central angle g is twice the angle subtended at the circumference on the same arc PQ , then

g = 2 × ∠ PRQ = 2 × 66 = 132°

Δ POQ is isosceles , 2 congruent sides , the radii OP and OQ

The base angles of the triangle are congruent , then

f = [tex]\frac{180-132}{2}[/tex] = [tex]\frac{48}{2}[/tex] = 24°

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