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`