Question

find the value of x
A 32°
B 49°
C 81°
D 97°​

Answer 1

Answer:

c. 81

Step-by-step explanation:

By the exterior angle property of triangles,

B+C = exterior angle A

so,

49+ 32 = 81

Therefore,

exterior angle A is 81

Answer 2

Answer:

(C) 81°

Step-by-step explanation:

In Δ ABC,

∠ABC + ∠ACB + ∠CAB = 180°        (Angle-sum property of Δ)

or, 49° + 32° + ∠CAB = 180°

or, 81° + ∠CAB = 180°

or, ∠CAB = 180° - 81°

or, ∠CAB = 99°

Now, ∠CAB + x = 180°                       (Linear pair)

or, 99° + x = 180°

or, x = 180° - 99°

or, x = 81°

(C) 81°

Hope it helps :)