Question

the given figure shows a circle through the point a b c and d . if angle BAC is 67 . find angle DBC + angle DCB

with explanation​

Answer 1

(b) 113°

Step-by-step explanation:

angle BAC = 67°

angle BAC= angle BDC

because angle BAC and angle BDC lie on the same side of a segment BC

so, angle BDC = 67°

now,

apply angle sum property in triangle BDC

angle BDC + angle DBC + angle DCB = 180°

67° + angle DBC + angle DCB = 180°

angle DBC + angle DCB = 180° - 67°

angle DBC + angle DCB = 113°

hope this will help you.