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torisob [31]
3 years ago
12

What is the value of x which proves that the runways are parallel? What is the measure of the larger angle?

Mathematics
2 answers:
Semenov [28]3 years ago
6 0

The answer is<u> C) x = 25; 107 degrees </u>

Temka [501]3 years ago
3 0

Answer:

The correct option is C.

Step-by-step explanation:

if a transversal line intersect two parallel lines then the sum of two consecutive exterior angles is 180 degrees.

The two consecutive exterior angles are 3x+32 and x+48.

3x+32+x+48=180

4x+80=180

4x=180-80

4x=100

x=25

The value of x is 25.

The measure of two consecutive exterior angles are

3x+32=3(25)+32=107

x+48=25+48=73

The measure of the larger angle is 107 degrees.

Therefore the correct option is C.

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<h3>How to find the angle of elevation?</h3>

We can see this as a right triangle, where one cathetus measures 1250ft (altitude) and the other cathetus measures 875ft.

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