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What is the angle's measure
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21 Feb 2025, 05:29
21 Feb 2025, 05:29
Expert Reply
00:00
Question Stats:
100% (00:16) correct
0% (00:00) wrong based on 1 sessions
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Quantity A |
Quantity B |
5x |
180° |
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Re: What is the angle's measure
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24 Feb 2025, 11:43
24 Feb 2025, 11:43
In general, you can assume with diagrams that any line that looks straight is straight.
The sum of the angles that are formed on a straight line is always 180.
Thus, we can set up the equation:
\(x + 2x + 75 = 180\)
\(3x + 75 = 180 \)
\(3x = 105\)
\(x = 35\)
Given that Quantity A = 5x, plug x = 35 back in to find that 5x = 175.
Since 175 < 180, Quantity B is greater.
The sum of the angles that are formed on a straight line is always 180.
Thus, we can set up the equation:
\(x + 2x + 75 = 180\)
\(3x + 75 = 180 \)
\(3x = 105\)
\(x = 35\)
Given that Quantity A = 5x, plug x = 35 back in to find that 5x = 175.
Since 175 < 180, Quantity B is greater.
Re: What is the angle's measure
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26 Feb 2025, 05:00
26 Feb 2025, 05:00
Expert Reply
OFFICIAL EXPLANATION
The correct answer is $\(\mathbf{B}\)$. Solve to find the answer:
$$
\(\begin{aligned}
x+2 x+75 & =180 \\
3 x+75 & =180 \\
3 x & =105 \\
x & =35 \\
5 x=5(35) & =175
\end{aligned}\)
$$
The correct answer is $\(\mathbf{B}\)$. Solve to find the answer:
$$
\(\begin{aligned}
x+2 x+75 & =180 \\
3 x+75 & =180 \\
3 x & =105 \\
x & =35 \\
5 x=5(35) & =175
\end{aligned}\)
$$
