## Math Problem Statement

Tamela examines the diagram of parallel lines cut by a transversal.

Which statement is TRUE? A.∠4 ≅ ∠8 and ∠5 ≅ ∠2, so ∠4 + ∠5 = 180°. B.∠4 ≅ ∠8 and ∠3 ≅ ∠7, so ∠1 ≅ ∠5. C.∠4 ≅ ∠8 and ∠6 ≅ ∠8, so ∠4 ≅ ∠6 = 180°. D.∠4 and ∠3 are complementary ∠6 ≅ ∠3, so ∠4 + ∠6 = 90°.

## Solution

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## Math Problem Analysis

### Mathematical Concepts

Angles

Parallel Lines

Transversal

Corresponding Angles

Alternate Interior Angles

Supplementary Angles

Complementary Angles

### Formulas

Supplementary angles sum to 180°

Complementary angles sum to 90°

Congruent corresponding angles

Congruent alternate interior angles

### Theorems

Corresponding Angles Postulate

Alternate Interior Angles Theorem

Same-Side Interior Angles Theorem

### Suitable Grade Level

Grades 7-9

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