Middle School

Transversal d intersects lines e and f to form 8 angles. The angles formed with line e, clockwise from top left, are 35 degrees, blank, 6, blank. The angles formed with line f, clockwise from top left are 5, 57 degrees, blank, 4.

For the diagram shown, find the measures of angles 4, 5, and 6.


m∠4 = 35, 57, 123, or 145

degrees

m∠5 = 35, 57, 123, or 145

degrees

m∠6 = 35, 57, 123, or 145

degrees

Transversal d intersects lines e and f to form 8 angles The angles formed with line e clockwise from top left are 35 degrees blank

Answer :

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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Answer:

m∠4 =

✔ 57

degrees

m∠5 =

✔ 123

degrees

m∠6 =

✔ 35

degrees

Step-by-step explanation: