Question

Can someone check my answer please?

Quadrilateral ABCD is inscribed in circle O.
What is m∠B?

m∠A + m∠B = 180°
2x - 7 + 2x + 3 = 180
4x - 4 = 180
4x = 184
x = 46

m∠B = 2x + 3
m∠B = 2(46) + 3
m∠B = 92 + 3
m∠B = 95°

Answer 1

yes i have checked it good job! :D

Answer 2

Nope.
The angles A and B do not add to 180°. Rather angles A and C add to 180°, because the sum of the measures of the arcs they intercept is 360°.
.. (2x -7) +(x+4) = 180
.. 3x = 183
.. x = 61

Then ∠B = (2*61 +3)° = 125°

_____
∠A = (2*61 -7)° = 115°
∠C = (61+4)° = 65°
∠D = 180° -125° = 55°
so ABCD is NOT a trapezoid..