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Answer:
ARC MAT = 180 degrees and ARC MAT = ARC MA + ARC AT
we have a given value of ARC AT = 70 degrees.
Now solving for ARC MA :
[tex]arc\ MAT = arc\ MA+arc\ AT\\\\180 = arc\ MA+70\\\\180-70=arc\ MA\\\\110 = arc\ MA[/tex]
So arc MA = 110 degrees.
Now for arc HT,
[tex]arc\ MHT=arc\ MH+arc\ HT\\\\180=106+arc\ HT\\\\180-106=arc\ HT\\\\74=arc\ HT[/tex]
So arc HT = 74 degrees.
If you'll add those up
106 + 74 + 110 + 70 = 360 degrees.
which satisfies the angle of a whole circle.