Answered

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Sagot :

Answer:

77.5 degrees and 102.5 degrees

Step-by-step explanation:

Given that : one angle is25 degrees greater than another. Let the two angles be represented by a and b. Since one angle is 25 degreess greater than another, then:

b = a +  25 degrees

But;

a + b = 180 degrees  (sum of angles on a straight line)

a + a + 25 degrees  = 180 degrees

2a = 180 degrees - 25 degrees

a =  77.5 degrees

b = 77.5 degrees  + 25 degrees  = 102.5 degrees

Therefore the measures of all angles formed by the lines is either 77.5 degrees  or 102.5 degrees.

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