Since both angles will be a part of triangle, and the third angle would be 90° as, the vertices meet at an centre of diagonal, hence they bisect each other.
7x-12 +(10x+5) = 90°
==> 17x -7= 90°
==> 17x = 97°
==> x = 97°/17
==> x = 5.70° (approx)
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