ab is parallel to cd are cut by transversal ef find m<5 when m<3=80

To find the measure of angle 5 (m<5), knowing that angle 3 (m<3) is 80 degrees and ab is parallel to cd cut by transversal ef, we need to use the properties of parallel lines and transversals.

When a transversal intersects two parallel lines, several pairs of corresponding angles are formed. The corresponding angles are congruent. In this case, angles 3 and 5 are corresponding angles.

Since we know that m<3 (angle 3) is 80 degrees, we can conclude that m<5 (angle 5) is also 80 degrees because corresponding angles formed by parallel lines and a transversal are congruent.

Therefore, the measure of angle 5 (m<5) is 80 degrees.