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3 years ago

The difference between two same-side interior angles of two parallel lines is 35 degrees. Find the measures of these two angles.

Mathematics

2 answers:

vampirchik [111]3 years ago

8 0

Answer:

The measures of the angles would be 107.5 and 72.5.

Step-by-step explanation:

The angles should up to 180 degrees.

You can make two equations to solve it:

x+y=180

x-y=35

You add both of the equations.

2x = 215

X = 107.5

Y = 72.5

Leona [35]3 years ago

4 0

Answer:

angle 1: 72.5°

angle 2: 107.5°

Step-by-step explanation:

x + y = 180

x - y = 35 ===> x = 35 + y

Substitution to find angle y:

x + y = 180

(35 + y) + y = 180

35 + 2y = 180

2y = 145

y = 72.5

Substitution to find angle x:

x = 35 + y

x = 35 + (72.5)

x = 107.5

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