Draw the following diagrams:quadrilateral ABCD inscribed in circle E. The mAB=54 degrees, mBC=115 degrees, and mCD=86 degrees. select the true statement
In a quadrilateral inscribed in a circle, opposite angles are supplementary.
Therefore, in quadrilateral ABCD with m∠ABC = 115° and m∠BCD = 86°, we can calculate the measure of the other two angles as follows:
m∠ABD = 180° - m∠ABC = 180° - 115° = 65°
m∠ADC = 180° - m∠BCD = 180° - 86° = 94°
Therefore, the true statement is: m∠ABD = 65° and m∠ADC = 94°.