Question

If BP||DC and <ACD=76' Find (1) <ABD (2) <CAP (3) <BDC​​

Answer 1

Answer:

1) 104

2) 76

3)76

Step-by-step explanation:

1) since ABDC is a cyclic quadrilateral

so opposite angles are add up-to 180

so C+B=180

76+B=180

B=180-76

B=104

2) angle DCA and angle CAP are alternative angles since AB and DC are parallel

so angle CAP =76

3) same way as 1

A+D=180

(180-76)+D =180

D= 76