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Nostrana [21]
3 years ago
15

Please help!! Thank you !!

Mathematics
1 answer:
maxonik [38]3 years ago
8 0

Answer:

55 degrees

Step-by-step explanation:

Angle ACE and BDE are congruent so segments AC and BD are parallel.  That makes angles CAE and DBE congruent.

6x - 15 = 5x - 1

x - 15 = -1

x = 14

So, the measure of angle BDE = 4x = 56 degrees.  The measure of angle DBE = 5x - 1 = 69 degrees.

The total of all angles in triangle BDE is 180 degrees, so the measure of angle E = 180 - 56 - 69 = 55

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nataly862011 [7]

Answer:

Answer 1; Angles forming a linear sum to 180°

Answer 2; Substitution

Answer 3; Definition of perpendicular lines

Step-by-step explanation:

The two column proof is presented as follows;

Statement  {}                               Reason

1. ∠SWT ≅ ∠TWU {}                    Given

2. m∠SWT + m∠TWU = 180°  {}  Angles forming a linear sum to 180°

3. m∠SWT + m∠SWT = 180° {}    Substitution

4. m∠SWT = 90°  {}                      Algebra

5. \underset{TV}{\leftrightarrow }⊥ \underset{SU}{\leftrightarrow } {}                                  Definition of perpendicular lines

Perpendicular lines are defined as lines that are at right angles (90°) to each other, therefore given that the angle formed by the lines \underset{TV}{\leftrightarrow } and \underset{SU}{\leftrightarrow } m∠SWT = 90°, therefore, the lines \underset{TV}{\leftrightarrow } and \underset{SU}{\leftrightarrow } are perpendicular to each other.

3 0
3 years ago
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alexandr1967 [171]

Answer:

Step-by-step explanation:

3

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Answer:

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Step-by-step explanation:

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