Answer:
x = 82°
Explanation:
Similar Triangles
Two triangles are similar if their corresponding sides are always in the same ratio.
In similar triangles, corresponding angles are always congruent.
From inspection of the given diagram, the two triangles are similar as their corresponding sides are in the same ratio. Therefore, their corresponding angles are equal:
⇒ 2x - 19° = x + 63°
⇒ 2x - 19° - x = x + 63° - x
⇒ x - 19° = 63°
⇒ x - 19° + 19°= 63° + 19°
⇒ x = 82°