Math question any appreciated ! find x.

Explanation:

Mark point D as the center of the circle. Segment EG is the diameter, so angle EDG is 180 degrees. By the central angle theorem, arc EFG is also 180 degrees.

The minor arc from E to F (follow the shortest path along the circle) is 56 degrees. From F to G, along the shortest path, we have y degrees.

(minor arc EF)+(minor arc FG) = arc EFG

56+y = 180

56+y-56 = 180-56

y = 180-56

y = 124

Minor arc FG is 124 degrees.

This is equivalent to saying that central angle FDG is 124 degrees.

The inscribed angle for minor arc FG is the angle FEG, which is half that of the minor arc measure.

inscribed angle = (1/2)*(arc measure)

angle FEG = (1/2)*(minor arc FG)

x = (1/2)*(124)

x = 62

Good evening ,

x = 62°

Step-by-step explanation:

x equals to half the measure of the central angle FOG

x = (1/2)×(m∠FOG)

m∠FOG = 180 - m∠EOF

              = 180 - 56

              = 124

then  x = 124/2 = 62.

:)

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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step-by-step explanation: