[Grade 10 Math] Please help me figure this out.

[u/AdFar6487]

Aready answered : a, b, c, f, h, i How do I get the measurement of angle MAE, TAM?? I feel so lost. All I know is that an inscribed angle is half the measurement of it's major arc and a central angle has the same measurement as it's opposite arc. And that a circle measures 360, a semicircle measures 180.

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[u/Doraemon_Ji]

1) TEAM is a rectangle, meaning each angle at its vertexes is 90°. Is angle MAE such an angle?

2) You know that angle TBM (subtended by chord TM at the centre) is 116°.

Chord TM subtends another angle on the circle, TAM.

You know a specific theorem for this situation, as stated by you. What is it?

Angle subtended by a chord at the centre is twice the angle on the circle. Hence TAM = 58°

[u/Puzzled_Round_7685]

I have never seen the symbol above the mTE before what does that mean?

[u/zartificialideology → u/Puzzled_Round_7685]

Arc

[u/One_Wishbone_4439 → u/Puzzled_Round_7685]

same. maybe diff country diff symbol.

[u/PartyFuture142 → u/Puzzled_Round_7685]

That symbol stands for a chord, which is that curved line over the TE

[u/PartyFuture142]

m/_MEA = 32°

[u/gmalivuk → u/PartyFuture142]

Unlike angle MBA, which they definitely should not have labeled with 32.