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3 years ago

How do you find the measure of each angle of m<8=115

Mathematics

2 answers:

Feliz [49]3 years ago

7 0

You would do 180 - 115 and that gives you the < for 7

Andre45 [30]3 years ago

5 0

Answer:

1. 65 deg

2. 115 deg

3. 115 deg

Step-by-step explanation:

Angles 7 and 8 are supplementary. Their measures add to 180 deg.

m<7 + m<8 = 180

m<7 + 115 = 180

m<7 = 180 - 115

m<7 = 65

Since lines p and q are parallel lines cut by a transversal, corresponding angles 6 and 8 are congruent.

m<6 = m<8

m<6 = 115

Angles 1 and 6 are vertical angles, so they are congruent.

m<1 = m<6

m<1 = 115

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3 years ago

How many ways can 5 people be arranged in a line?

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Answer: 120 ways

Step-by-step explanation: In this problem, we're asked how many ways can 5 people be arranged in a line.

Let's start by drawing 5 blanks to represent the 5 different positions in the line.

Now, we know that 5 different people can fill the spot in the first position. However, once the first position is filled, only 4 people can fill the second spot and once the second spot is filled, only 3 people can fill the third spot and so on. So we have 5 4 3 2 1.

Now, based on the counting principle, there are 5 x 4 x 3 x 2 x 1 ways for all 5 spots to be filled.

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I have also shown my work on the whiteboard in the image attached.