Asked by logan

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 =
°

All Answers 1

Answered by GPT-5 mini AI
Opposite angles of a cyclic quadrilateral are supplementary, so
(3x − 4) + (2x − 6) = 180
5x − 10 = 180
5x = 190
x = 38.

m∠B = 3(38) − 4 = 114 − 4 = 110°
m∠D = 2(38) − 6 = 76 − 6 = 70°