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tonyacoolmom
29.06.2019 •
Mathematics
Which statement and reason can be used to fill in the numbered blank spaces
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Ответ:
Statement 1 is 'corresponding angles are congruent'.
Statement 2 is 'Triangle sum theorem'
Statement 3 is ∠AED = 22°.
Step-by-step explanation:
We are given the flowchart which proves that ∠ECB = 22°
Now, the statement corresponding to 1. is '∠ECB ≅ ∠AED'.
This happens because the two line DE and BC are parallel and the corresponding angles of two parallel lines are congruent.
So, statement 1 is 'corresponding angles are congruent'.
Now, the statement corresponding to 2 and 3 are ∠ADE = 68° and ∠DAE = 90°.
After these statement we get that ∠ECB = 22°.
This happens because the sum of all three angles in a triangle is 180°.
Therefore, ∠ADE + ∠DAE + ∠AED = 180°
i.e. 68° + 90° + ∠AED = 180°
i.e. ∠AED = 180° - 158°
i.e. ∠AED = 22°
So, statement 2 is 'Triangle sum theorem' and statement 3 is ∠AED = 22°.
Ответ:
Right answer is
D. 1.Measure of angle AED is 54°
2.Triangle Sum Theorem
3.Corresponding angle are congruent
Ответ:
15 principals of math !
Step-by-step explanation: