ABCD-square. Point F is the interior point of segment CD, and point O is the intersection of lines AF and BC.

ABCD-square. Point F is the interior point of segment CD, and point O is the intersection of lines AF and BC. Calculate the degree measure of the angle BOF if the angle BAF = 70 degrees.

Point O will be located on the continuation of segments BC and AF.

Consider a triangle ABO.

<ABO = <ABC = 90 ° (square angle).

<BAF = <BAO = 70 °;

<BOF = <BOA;

<ABO + <BAO + <BOA = 180 °;

90 ° + 70 ° + BOA = 180 °;

<BOA = 20 °;

Answer: <BOF = 20 °.