Answer:
x = 51°
Step-by-step explanation:
Sum of all the angles of a triangle = 180°
[tex]$ \angle{BCA} = 180^{\circ} - (3x - 22)^{\circ} $[/tex]
Since, the measure of angle on a straight line is 180°.
Now, since sum of all angles of a triangle is 180°, we have:
[tex]$ \angle{A} + \angle{B} + \angle{C} = 180^{\circ} $[/tex]
Substituting the corresponding values, we get:
[tex]$ 80^{\circ} + x + 180^{\circ} - 3x + 22 = 180^{\circ} $[/tex]
[tex]$ \implies 102 - 2x = 0 $[/tex]
[tex]$ \implies x = 51^{\circ} $[/tex]
Therefore, ∠A = 51°
