Highland Park is located between two parallel streets, Walker street and James Avenue. The park faces Walker Street and is borde

Question

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Highland Park is located between two parallel streets, Walker street and James Avenue. The park faces Walker Street and is borde

red by two brick walls that intersect James Avenue at point C, as shown below. Walker St. Highlands Park brick wall brick wall 60 James Ave. What is the measure, in degrees, of ZACB, the angle formed by the park's two bri walls?

Mathematics

1 answer:

ehidna [41] · Answer 1 · 2022-06-26T16:23:06+03:00

Applying the definition of alternate angles and angles on a straight-line: m<ACB = 84°.

Recall:

Alternate angles are congruent and have equal angle measures.

Angles on a straight-line = 180 degrees.

The diagram showing the information and sketch of the Highland Park is attached below (see attachment).

Thus:

m<BAC = 36° (given)

m<BCE = 60° (given)

<ACD = <BAC (alternate angles)

Therefore,

m<ACD = 36°

m<ACB = 180° - (m<ACD + m<BCE) (angles on a straight-line)

Substitute

m<ACB = 180° - (36° + 60°)

m<ACB = 84°

Thus, applying the definition of alternate angles and angles on a straight-line: m<ACB = 84°.

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