Answer:
26. length=7cm width=4cm
27. length=12cm width=5cm
28. length=12 cm width=9cm
29. length=7 cm
30. length=2cm
Answers:
Angle A = 62.1 degrees
Angle X corresponds to angle A
The triangles are not similar
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Explanation:
To find angle A, subtract the given angles B and C from 180 to get 180 - B - C = 180 - 60.8 - 57.1 = 62.1 degrees
Notice how none of the angles of triangle ABC have a measure of 59.1, so this means that angle Y cannot be congruent to any of A, B or C. This is why the triangles are not similar. We would need 2 pairs of congruent angles to use the AA (angle angle) similarity theorem.
If the triangles were similar, then we can say triangle ABC is similar to triangle XYZ. The letters A and X are the first letters mentioned of the trio of letters, which means that they correspond to one another.
<h3>
Answer: Yes, those sides form a right triangle</h3>
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Work Shown:
a^2+b^2 = c^2
15^2+20^2 = 25^2
225+400 = 625
625 = 625
Since the last equation is true, this makes the first equation true for those a,b,c values. Therefore, by the pythagorean theorem converse, this is a right triangle.
Side note: c is always the longest side.
1. Lines a and b are parallel by the converse of alternate interior angles theorem
2. l║m by the converse of consecutive interior angles theorem.
<h3>What is the
Converse of Alternate Interior Angles Theorem?</h3>
Given that the interior angles, ∠3 ≅ ∠7, according to the converse of alternate interior angles theorem, the lines they are found on, lines a and b would be parallel.
1. Lines a and b are parallel.
<h3>What is the
Converse of Consecutive Interior Angles Theorem?</h3>
Given that the interior angles, m∠5 + m∠12 = 180, according to the converse of consecutive interior angles theorem, the lines they are found on, lines l and m would be parallel.
2. Lines l and m are parallel.
Learn more about the converse of alternate interior angles theorem on:
brainly.com/question/10565830
#SPJ1
N=155. And since the other outer angle is also 155. And since the sum of all other angles is 360, you would take 360-155-155. That is 310. And so you would take 360-310=50. Since there is two angles, both m and p are equal to 25
