Straight lines AB and CD and EF intersect at point O. Moreover, AB⊥CD. ∠AOE = 30 °.

Straight lines AB and CD and EF intersect at point O. Moreover, AB⊥CD. ∠AOE = 30 °. Find the degree measure of the COF angle.

Because according to the condition of the problem, it is said that lines AB and CD are perpendicular and intersect at point O, then the angle COB is respectively 90 °. It is also known that lines AB and EF intersect at point O, as a result of which the resulting angles AOE and COF are vertical, which means they have the same degree measure. Thus, the BOF is also 30 °. Find the COF angle as the difference between the COB and BOF angles:

90 – 30 = 60 (°).

Answer: The BOF angle has a degree of 60 °.