Answer-
The value of x is 55°.
Solution-
In the given attachment, ABC is a triangle.
We know that in any triangle, the sum of measurement of all the 3 angles is 180°.
Hence,
[tex]\Rightarrow m\angle A+m\angle B+m\angle C=180^{\circ}[/tex]
[tex]\Rightarrow m\angle A=180^{\circ}-m\angle B-m\angle C[/tex]
Given that,
m∠A = x°
m∠B = 75°
m∠C = 50°
Putting the values,
[tex]\Rightarrow x=180^{\circ}-75^{\circ}-50^{\circ}[/tex]
[tex]\Rightarrow x=180^{\circ}-125^{\circ}[/tex]
[tex]\Rightarrow x=55^{\circ}[/tex]
Therefore, the value of x is 55°.
