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3 years ago

Lines m and n are parallel, as shown in the diagram below. What are the measures of angles A and B?

Mathematics

2 answers:

Dvinal [7]3 years ago

7 0

Answer:

a = 55° and b = 60°

Step-by-step explanation:

→ Remember 2 key points about angles

Angles in a triangle add up to 180°

Alternate angles are equal

→ Angle a is alternate to 55° so using the 2nd point,

a = 55°

→ Remember the fact that angle in a triangle add up to 180°

55° + 65° + b = 180°

→ Collect the whole numbers

120° + b = 180°

→ Minus 120° from both sides to isolate b

b = 60°

baherus [9]3 years ago

3 0

Step-by-step explanation:

since m and n are parallel so the right side of b are equal 65degree. 180-55-65 to get B is 60 degree. After that, 180-60-65 will get the A is 55degree

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The relationship of the given angles are:

1. A. Adjacent

2. B. vertical

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5. C. complementary

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Different pairs of angles are related to each other in several ways. The explanation below shows the relationship between the given angles.

1. Angles 2 and 3 share a common vertex and a common side, therefore:

<2 and <3 are: A> Adjacent

2. <3 and <4 are non-adjacent angles that share a common vertex and are opposite each other. Thus:

<3 and <4 are: B. vertical

3. <1 and <3 are: B. vertical

4. <1 and <2 lie on a straight line and are adjacent to each other. Therefore, they are a: linear pair

5. 78 + 12 = 90 degrees. Therefore, their relationship is that they are: C. complementary

6. 123 + 57 = 180. Therefore, they are: D. supplementary

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Learn more about the relationship of angles on:

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vovangra [49]

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Now, $y = 3^{x-4}$ is a child of the parent function we just described. Precisely, it is the result of the transformation $f(x) \to f(x-4)$

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