The value of x which is the missing angle of the triangles is; x = 30°
How to find the missing angles of a triangle?
We know that Alternate angle theorem states that when two parallel lines are cut by a transversal, then the resulting alternate interior angles or alternate exterior angles are congruent.
Thus, if we label the vertex with the unknown angle in the smaller triangle as A, then by the alternate angle theorem, we can say that;
∠A = 2x
Thus, from sum of angles in a triangle equals to 180°, we can say that;
x + 2x + 90 = 180
3x + 90 = 180
3x = 180 - 90
3x = 90
x = 90/3
x = 30°
Read more about Angles in a Triangle at; https://brainly.com/question/17972372
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