Question

Need help with these 3

Answer 1

Explanation:

Corresponding angles: When two parallel lines are intersected by a transversal, the acute angles on the same side are congruent & the obtuse angles on the same side of the transversal are congruent and they are called corresponding angles.

Co-interior angles: The interior angles on the same side of the transversal are called co -interior angles and they are supplementary.

a) c + 123 = 180 {linear pair}

c = 180 - 123

c = 57

a = 123 {Corresponding angles}

b = a {Vertically opposite angles are congruent}

b = 123

b) f + 82 = 180 {Linear pair}

f = 180 - 82

f = 98

d = f {Corresponding angles}

d = 98

e = d {Vertically opposite angles}

e = 98

c) h = 75 {Corresponding angles}

g = h {Vertically opposite anges}

g = 75