A circle is shown. Points A, B, C, and D are on the circle. Lines connect each point to form a quadrilateral. Angle B is (3 x minus 4) degrees and angle D is (2 x minus 6) degrees. The measure of ∠B is (3x – 4 )° and the measure of ∠D is (2x – 6)°. What are the measures of angles B and D? m∠B = ° m∠D = °

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary, so ...

  ∠B +∠D = 180°

  (3x -4)° +(2x -6°) = 180° . . . . substitute given expressions

  5x = 190 . . . . . . . . . . . . . . . . divide by °, add 10

  x = 38 . . . . . . divide by 5

Then the angle measures are ...

 ∠B = (3·38 -4)° = 110°

  ∠D = (2·38 -6)° = 70°

50-38=12

step-by-step explanation: