Page 204 - Math Course 2 (Book 2)

Proving Angle Relationships

Skill Practice!

Find the measure of each numbered angle.

1. m∠2 = 57 2. m∠5 = 22 3. m∠1 = 38

4. m∠13 = 4x + 11 5. ∠9 and ∠10 are complementary 6. m∠2 = 4x – 26,
m∠14 = 3x + 1 ∠7≅ ∠9, m∠8 = 41 m∠3 = 3x + 4

Determine whether the following statements are always, sometimes, or never true.

7. Two angles that are supplementary form a linear pair.

8. Two angles that are vertical are adjacent.

9. Copy and complete the following proof.

Given: ∠QPS ≅ ∠TPR
Prove: ∠QPR ≅ ∠TPS
Proof:
Statements Reasons
a.
b. m∠QPS m∠TPR
c. m∠QPS = m∠QPR + m∠RPS
m∠TPR = m∠TPS + m∠RPS
d. Substitution
e.
f.

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