Question

2). find the angle between AC
vectors, (in degree)
3) find the angle between AD vectors
in degree)
4) find the angle between B,C vectors in
degree
5) find the angle between BD vectors in
degree
6) find the angle between CD vectors in
degree​

Answer 1

We need to find angle between vector A and B = x

90⁰ + 40⁰ + y = 180⁰.. ( Triangle )

y = 180⁰ - 130⁰

y = 50⁰

similarly,

y + 70 + x = 180⁰. ( Triangle)

50⁰ + 70⁰ + x = 180⁰

x = 180⁰ - 120⁰

x = 60⁰

A, B vectors = 60⁰

Angle between A and D :

y = 50⁰

again, y = 50⁰ ( vertically opposite angles)

refer a diagram here

angle between a and d : 50⁰ + angel ad = 180⁰

= 130⁰

Angle between b and d :

90⁰ + 70⁰ + y = 180⁰

y = 180⁰ - 160⁰

y = 20⁰

→ y + 60 + x = 180⁰

20 + 60 = 180

x = 100⁰

Angle between b and d is 100⁰

Angle between B and C :

70 + x = 180 ( interior angles are supplementary i.e. 180⁰)

110⁰