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I need help with this math problem. It should be relatively easy, please show working out. 20 points!

I need help with this math problem. It should be relatively easy, please show working-example-1
User Vharron
by
6.6k points

2 Answers

3 votes

Answer:

x = 35°

Explanation:

The angle made by the directional line from wharf to Shell Cove relative to North is 60° at the point of departure from the wharf

The angle that this same line makes at the point of arrival at Shell Cove must be 60° relative to North since the two North directions are perpendicular and the line connecting the wharf and shell cove is a transversal intersecting these lines


This is because of the property that when two parallel lines are intersected by a transversal, the alternate interior angles must be the same

The angle made by this transversal at Shell Cove = x + 25 degrees

Since (x + 25)° = 60°

x = 60° - 25°

x = 35°

User Wkz
by
8.6k points
2 votes

Answer:

35 degrees

Explanation:

The direction "North" is parallel to itself, because of the reflexive property of parallel lines. Using the alternate interior angles theorem, the measure of x + 25 must be equal to 60 degrees. 60 - 25 = 35

User AnandMohanAwasthi
by
7.2k points