Question

Use the given information to find the measures of all angles formed by parallel lines a and b, and transversal m.

Answer 1

Answer:

Either $77.5^{o}$ or $102.5^{o}$

Step-by-step explanation:

Given that : one angle is $25^{0}$ greater than another. Let the two angles be represented by a and b. Since one angle is $25^{0}$ greater than another, then:

b = a + $25^{0}$

But;

a + b = $180^{o}$ (sum of angles on a straight line)

a + a + $25^{0}$ = $180^{o}$

2a = $180^{o}$ - $25^{0}$

a = $77.5^{o}$

b =  $77.5^{o}$ + $25^{0}$ = $102.5^{o}$

Therefore the measures of all angles formed by the lines is either $77.5^{o}$ or $102.5^{o}$.