Yes, because a circle is 360 degrees right?,so when the perpendicular lines meet they cut the circle in half so 360 degrees divided by 4 equals 90 degrees...
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Lines that form a 90 degree angle at their vertex. Two lines that make a 90 degree are perpendicular.
their slopes are negative reciprocals of each other. and they make a right angle when they intersect.
Perpendicular lines
Perpendicular lines make four 90 degree angles otherwise known as right angles.
The problem is meaningless without a diagram but I am guessing that ABC make a triangle and D is on the extension of AB beyond B. In that case we use the exterior angle theorem to get CBD = C + A, so 125 = 90 + A and A = 35.