Answer:
See answers below
Step-by-step explanation:
1) The typr of triangle in a semicircle is a right angle. Hence the measure of m<ABC is 90degrees
2) m<DEF = 1/2(144)
m<DEF = 144/2
m<DEF = 72degrees
3) From the trinagle
4x+3 + x+7 +90 ==180
5x + 100 = 180
5x = 180-100
5x = 80
x = 80/5
x = 16
<QRD = x+7
m<QRD = 16 + 7
m<QRD = 23degrees
4) Angle in the same segment are equal
5x-37= 3x+1
5x - 3x = 1+37
2x = 38
x = 38/2
x =19
arc NM = 2m<P
arc NM = 2(3x+1)
arc NM = 2(3(19)+1)
arc NM = 2(58)
arcNM = 116degrees
