Answer:
Either [tex]77.5^{o}[/tex] or [tex]102.5^{o}[/tex]
Step-by-step explanation:
Given that : one angle is [tex]25^{0}[/tex] greater than another. Let the two angles be represented by a and b. Since one angle is [tex]25^{0}[/tex] greater than another, then:
b = a + [tex]25^{0}[/tex]
But;
a + b = [tex]180^{o}[/tex] (sum of angles on a straight line)
a + a + [tex]25^{0}[/tex] = [tex]180^{o}[/tex]
2a = [tex]180^{o}[/tex] - [tex]25^{0}[/tex]
a = [tex]77.5^{o}[/tex]
b = [tex]77.5^{o}[/tex] + [tex]25^{0}[/tex] = [tex]102.5^{o}[/tex]
Therefore the measures of all angles formed by the lines is either [tex]77.5^{o}[/tex] or [tex]102.5^{o}[/tex].
