shelbylynn17
28.06.2019 •
Mathematics
Given: p || q, and r || s. prove: ∠1 and ∠14 are supplementary angles. what is the next step in the proof? choose the most logical approach. a. statement: ∠6 ≅ ∠14 reason: for parallel lines cut by a transversal, corresponding angles are congruent. b. statement: ∠6 ≅ ∠7 reason: vertical angles theorem c. statement: ∠6 and ∠5 are supplementary. reason: linear pair theorem d. statement: m∠6 + m∠8 = 180° reason: angle addition
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Ответ:
A.
Statement: ∠6 ≅ ∠14
Reason: For parallel lines cut by a transversal, corresponding angles are congruent.
Step-by-step explanation:
In the figure attached, a plot of the problem is shown.
Given p || q and r is a transversal which cut p and q, then ∠1 ≅ ∠5 and ∠2 ≅ ∠6.
Given r || s and q is a transversal which cut r and s, then ∠6 ≅ ∠14 and ∠8 ≅ ∠16.
From the picture we see that ∠1 and ∠2 are supplementary, that is, their addition is equal to 180º. ∠2 ≅ ∠6 and ∠6 ≅ ∠14, then ∠2 ≅ ∠14, in consequence ∠1 and ∠14 are supplementary.
Ответ:
b = d -wn
Step-by-step explanation:
b = d -wn
Here, n is an independent variable and b is an dependent variable in an linear relation, and d and w are two constant values.
Hope it will find you well.