Question

Answer the following questions with explanation​

Answer 1

HENCE ,
ANGLE BCD = 100°
ANGLE ABD = 70°

NOW,
ANGLE BCD + ANGLE BAD = 180°
(OPPOSITE ANGLES ARE SUPPLEMENTARY IN CYCLIC QUADRILATERAL)
100° + BAD = 180°
180° - 100° = BAD
80° = BAD


SO, ABD FORMS A TRIANGLE
SO , ANGLE (A) + ANGLE (B) + ANGLE (D) = 180° (ANGLE SUM PROPERTY OF TRIANGLE)
80° + 70° + ANGLE (D) = 180°
150° + ANGLE (D) = 180°
180° - 150° = ANGLE (D)
30° = ANGLE (D)

SO THE MEASURE OF ANGLE (D) IS 30°.
SO THE MEASURE OF ANGLE (ABD) IS 30°

REGARDS,