Answer: x is 25°
The measure of arcPT is 32 degrees. The measure of arcXZ is 54°
(The drawing is not to scale!)
Step-by-step explanation: The angle of the intersecting chords is
m∠ = (a + b)/2 . Use 'a' for the measure of arc PT, 'b' for the measure of arc XZ
So 43 =([x+7] +[2x + 4])/2 . Substitute the values given for a & b .
86 = 3x +11
75 = 3x
x = 25
m∠= a = x + 7
a = 32