Geometry question I’m confused with this help

Mathematics

1 answer:

anyanavicka [17]2 years ago

3 0

Answer: ∠PQR = 130°

Step-by-step explanation:

The word bisects means that angle PQS and SQR are equal to each other.

3x + 5 = 2x + 25

3x = 20

x = 20

Now, we will plug this value back in and solve for angle PQR. There are three ways we could do this.

[1]

(3x + 5) + (2x + 25)

(3(20) + 5) + (2(20) + 25)

(60 + 5) + (40 + 25)

(65) + (65)

130 degrees

[2]

(3x + 5) * 2

(3(20) + 5) * 2

(65) * 2

130 degrees

[3]

(2x + 25) * 2

(2(20) + 25) * 2

(65) * 2

130 degrees

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Answer:

The answer is "Option B".

Step-by-step explanation:

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In option D, It is erroneous even as the range is not the mean, and the mean seems to be the average. We search for both the range, not the mean.