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Question
if ∠a and ∠b are vertical angles, then: mark only one oval. they are supplementary they are congruent they are complementary they are right angles 29. if ∠1 and ∠2 form a linear pair and ∠1≅∠2, then each angle measures: 1 point mark only one oval. 45° 60° 90° 120° 30. if ∠x≅∠y and ∠y≅∠z, then ∠x≅∠z. this property is called: * 1 point mark only one oval. reflexive symmetric transitive addition
Step1: Recall vertical - angle property
Vertical angles are congruent by definition.
Step2: Recall linear - pair property
A linear pair of angles is supplementary, i.e., their sum is 180°. If ∠1 and ∠2 are congruent and form a linear pair, let the measure of each angle be x. Then x + x=180°, so 2x = 180° and x = 90°.
Step3: Recall angle - congruence properties
The property that if ∠X≅∠Y and ∠Y≅∠Z, then ∠X≅∠Z is the transitive property of congruence.
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- They are congruent
- 90°
- Transitive