Question

angleAPC and angleBPD are vertically opposite angles.If angleAPC =3x-20 and angleBPD =2x+30, then find x and each other angles.​

Answer 1

Answer:

x=50

Step-by-step explanation:

We have to directly apply the property of Vertically Opposite angles.

Given:

∠APC and ∠BPD are vertically opposite angles aka VOAs

We know that if two angles are VOAs then they are equal

therefore,

∠APC=∠BPD

∠APC=3x-20

∠BPD=2x+30

∠APC=∠BPD

2x+30=3x-20

x=50

Hence

∠APC=3x-20

=3*50-20

=130

and

∠BPD=2x+30

=2*50+30

=130

Therefore the given angles are of 130 each.

Hope this helps.

Answer 2

Answer:

130 can be your answer ok dear