Question

Please help if you can!!!

Select all that apply:

Answer choices
A is congruent to F
A is supplementary to F
F is congruent to E
H is congruent to B
C is supplementary to G
B is congruent to E
H is supplementary to B​

Answer 1

1, 3, 6, 7

Explanation:

Given parallel lines m and n crossed by a transversal that creates 8 marked angles, you want to know which statements are true about the angles.

Congruent angles

All of the obtuse angles in the figure are congruent:

{a, b, e, f}

All of the acute angles in the figure are congruent:

{c, d, g, h}

Supplementary angles

All of the acute angles in the figure are supplementary to all of the obtuse angles in the figure. A pair of supplementary angles will have one angle on each of the two lists above.

Choices

1. A congruent to F — true
2. A supplementary to F — false
3. F congruent to E — true
4. H congruent to B — false
5. C supplementary to G — false
6. B congruent to E — true
7. H supplementary to B — true

Choices 1, 3, 6, 7 are true.

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