Question

Please help I don't understand, please show work thank you

Answer 1

Sum of angles in a triangle is 180°:
180 - 50 - 62 = 68

Sum of angles in a triangle is 180°:
180 - 80 - 53 = 47

Sum of angles in a triangle is 180° / Vertically opposite:
180 - 68 - 47 = 65°

Answer:  65°

Answer 2

We know the sum of all angles in a triangle is $180^{ \circ}$ and they have given both the triangles two of the angles.
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For the one on the right, we have 
$53+80=133$
$180-133=47$
The bottom left angle of the triangle on the right is $47^{ \circ}$.
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For the triangle on the left, we do the same process.
The bottom right angle of the triangle on the left is $68^{ \circ}$.
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Now we can find the last angle of the smaller triangle created by the overlapping larger triangles.
Using the same method as the previous ones, we get
$65^{ \circ}$.
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A straight angle is $180^{ \circ}$.  
$180-65=\boxed{115}$

$x=115$