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Natali [406]
3 years ago
8

Find the measure of each angle. Assume the lines are parallel.

Mathematics
1 answer:
andreev551 [17]3 years ago
4 0

Answer:

2 = 67

3 = 113

4 = 67

5 = 113

6 = 67

7 = 113

8 = 67

Step-by-step explanation:

opposite angle have to equal 180 because if you combine them they just become the line.

since the lines are parallel, measurements will be the same for the bottom set of angles as they are the top set of angles.

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Answer:

The remaining side has a length of six units.

Step-by-step explanation:

We know that this is an Isosceles triangle because angles A and C are marked as being the same angle.  So we know that AB and CB are the same length.

As we're given their lengths, we can simply equate the two, and solve for x:

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What additional information would he need to prove the triangles are congruent using the Side-Angle-Side method?
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Answer:

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Step-by-step explanation:

Two ∆s can be considered to be congruent to each other using the Side-Angle-Side Congruence Theorem, if an included angle, and two sides of a ∆ are congruent to an included angle and two corresponding sides of another ∆.

∆ABC and ∆DEF has been drawn as shown in the attachment below.

We are given that \overline{AB} \cong \overline{DE} and also \overline{AC} \cong \overline{DF}.

In order to prove that ∆ABC \cong ∆DEF using the Side-Angle-Side Congruence Theorem, an included angle which lies between two known side must be made know in each given ∆s, which must be congruent accordingly to each other.

The included angle has been shown in the ∆s drawn in the diagram attached below.

Therefore, the additional information that would be need is:

\angle A \cong \angle D

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