kadinmorgan
16.01.2020 •
Mathematics
*see attached pictures*
greg is constructing a fence that consists of parallel sides line ed and line fb. complete the proof to explain how he can show that m∠fac = 121° by finding the missing justifications.
answer choices:
a) 1. corresponding angles theorem; 2. definition of supplementary angles
b) 1. definition of supplementary angles; 2. corresponding angles theorem
c) 1. same-side interior angles theorem; 2. substitution property
d) 1. substitution property; 2. same-side interior angles theorem
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Ответ:
C) 1. Same-Side Interior Angles Theorem; 2. Substitution Property
Step-by-step explanation:
Here, given that: Line ED is parallel to line FB
To show: ∠FAC = 121°
Now, here the given proof is:
ED II FB
∠ECG = 121° ( Given)
∠ECG + ∠ECA = 180° ( LINEAR PAIR POSTULATE)
∠FAC + ∠ECA = 180° ( 1.Same-Side Interior Angles Theorem)
The same-side interior angle theorem states that when two lines that are parallel are intersected by a transversal line, the same-side interior angles that are formed are supplementary ( add up to 180°).
∠ECG + ∠ECA = ∠FAC + ∠ECA (TRANSITIVE PROPERTY)
∠ECG = ∠FAC (SUBTRACTION PROPERTY)
∠FAC = ∠ECG (SYMMETRY PROPERTY)
∠FAC = 121° (2. Substitution Property)
Hence, here the correct option is C) 1. Same-Side Interior Angles Theorem; 2. Substitution Property
Ответ:
6 x 1/2 = 3
3 x 2 = 6