One of two straight lines intersecting at an angle of 40 degrees is perpendicular to some plane Prove

One of two straight lines intersecting at an angle of 40 degrees is perpendicular to some plane Prove that the other line intersects this plane. Find the angle between the second line and the plane.

Let two straight lines intersect at point O. One of the straight lines intersects the plane at a right angle at point B, the second straight line intersects the same plane at point A. We obtain a right-angled triangle AOB, where angle B = 90 °, angle O = 40 °. This triangle is rectangular, since it is known that one of the straight lines is perpendicular to the plane, which means that it is perpendicular to any of the straight lines lying in this plane.

Find angle A:

∠ А = 90 ° – ∠ В;

∠ А = 90 ° – 40 ° = 60 °, since the AVO triangle is rectangular.

Answer: the second line intersects the plane at an angle of 60 °.