Question

help help in this ans ​

Answer 1

Answer:

sum of angles =180

7x+8x=180

x=180/15

x=12

apc=7x=84

bpc=8x=96

Step-by-step explanation:

Answer 2

Answer:

∠APC = 84°

∠BPC = 96°

∠BPD = 84°

∠DPA = 96°

Step-by-step explanation:

Given that-

∠APC : ∠BPC = 7 : 8

Let ∠APC = 7x

∠BPC = 8x

By figure, ∠APC and ∠BPC are the liner pair of angles on a straight line.

So, ∠APC + ∠BPC = 180  ( According to straight line property )

7x + 8x = 180

15x = 180

x = 12

So,  ∠APC = 7x

                 = 7×12

∠APC = 84°

∠BPC = 8x

          = 8×12

∠BPC = 96°

According to the given figure-

∠APC and ∠BPD are opposite angles.

So ∠APC = ∠BPD       ( because if two lines intersect at any point then opposite angles are equal)

S0, ∠BPD = ∠APC

 ∠BPD = 84°

According to the given figure-

∠BPC and ∠DPA are opposite angles.

Then ∠DPA = ∠BPC         ( because if two lines intersect at any point then opposite angles are equal)

So, ∠DPA = 96°