The measures of angles 4, 5, and 6 are 57°, 123° and 35°
What are angles?
An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by two rays lie in the plane that contains the rays. Angles are also formed by the intersection of two planes. These are called dihedral angles.
Given that, Transversal d intersects lines e and f to form 8 angles.
We need to find the measures of angles 4, 5, and 6.
m ∠ 4 = 57° (vertically opposite angles)
m ∠ 5 = 180°-m ∠ 4 (liner pair)
m ∠ 5 = 180°-57°
m ∠ 5 = 123°
m ∠ 6 = 35° (vertically opposite angles)
Hence, the measures of angles 4, 5, and 6 are 57°, 123° and 35°
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