Question

In the adjoining fig., then find the value of x.

Answer 1

Answer:

x=40°

Step-by-step explanation:

∠BAC+∠ABC=∠ACD(Exterior angle sum property)

(2x-20°)+(x+10°)=110°

2x-20°+x+10°=110°

2x+x-20°+10°=110°

3x-10°=110°

3x=110°+10°

3x=120°

x=120°/3

x=40°

Answer 2

Answer:

40°

Step-by-step explanation:

BAC = (2x-20)°

ABC= (x+10)°

Exterior angle C = 110°

By the Exterior angle property,

BAC + ABC = C

2x - 20 + x + 10 = 110

2x + x - 20 + 10 = 110

3x - 10 = 110

3x = 110 + 10

3x = 120

x = 120 ÷ 3

x = 40

x = 40°