Answer:
Therefore the value of [tex]x=31\°[/tex]
Step-by-step explanation:
Given:
m∠ A = 56°
m∠ B = 75°
m∠ ACD = x°
To Find:
x = ?
Solution:
In Δ ABC
An exterior angle of a triangle is equal to the sum of the opposite interior angles.
Here,
The opposite interior angles are angle A and angle B.
An exterior angle of a triangle is angle ACD which is x°
∴ [tex]m\angle A +m\angle B=m\angle ACD\\[/tex]...Exterior angle property of Δ
Substituting the values we get
[tex]56+75=x\\\\\therefore x=131\°[/tex]
Therefore the value of [tex]x=31\°[/tex]
