:) Well, I dunno about anyone else but this question makes my head spin!
Answer:
A
Step-by-step explanation:
The base of the larger triangle is <em>twice as large</em> as the smaller one: <em>6 v 3 --> 6 : 3 --></em> 2 : 1.
A and a' are vertical angles, therefore a' = a
We know: The sum of the measures of triangle is always 180°.
Therefore: a' + b + d = 180° → d = 180° - a - b.
d and c are adjacent angles, therefore d + c = 180°
substitute
180° - a - b+ c = 180° |-180°
-a - b + c = 0 |+a |+b
c = a + b
b=26
Explanation
Step 1
we have two equals triangles, because

then, the hypotenuses are equal

"is step 1 clear?
Step 2
solve the equation