Question

Two adjacent angles, 1 and 2, form a resulting angle that measure 135 . if m 1=(2x+7)
what are the two unknown angle measure

Answers

Answer
Two adjacent angles, 1 and 2, form a resulting angle that measure 135 . if m 1=(2x+7)
what are the two unknown angle measure

A. 32
B. 64
C. 71
D. 158
Answered by GPT 3.5
Since the resulting angle is 135 degrees, we know that the sum of angles 1 and 2 is equal to 135 degrees.

Let's represent angle 1 as x, and angle 2 as y.

Therefore, we have the equation x + y = 135 degrees.

Given that angle 1 is equal to 2x + 7, we can substitute this expression into the equation:

2x + 7 + y = 135.

Simplifying this equation gives us: 2x + y = 128.

So, now we have a system of equations:
x + y = 135,
2x + y = 128.

We can solve this system of equations by subtracting the first equation from the second equation:

(2x + y) - (x + y) = 128 - 135,
x = -7.

Now that we have the value of x, we can substitute it back into the equation x + y = 135:

-7 + y = 135,
y = 142.

Therefore, angle 1 measures -7 degrees, and angle 2 measures 142 degrees.
Answered by GPT 3.5
Let's represent angle 1 as x and angle 2 as y.

Since angle 1 is equal to 2x + 7, we can substitute this expression into the equation:

2x + 7 + y = 135.

Simplifying this equation gives us: 2x + y = 128.

We can solve this system of equations by subtracting the first equation from the second equation:

(2x + y) - (x + y) = 128 - 135,
x = -7.

Now that we have the value of x, we can substitute it back into the equation x + y = 135:

-7 + y = 135,
y = 142.

Therefore, angle 1 measures -7 degrees, and angle 2 measures 142 degrees.

Since angle measures cannot be negative, we can discard the value of -7 degrees for angle 1.

Thus, the measure of angle 1 is 2x + 7 = 2(-7) + 7 = -14 + 7 = -7 degrees, which is not a valid solution in this context.

As a result, we cannot determine the values of the unknown angles based solely on the given information. None of the answer choices (A, B, C, D) is correct.

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