Question

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Answer 1

Answer:

$x_1=5,\\x_2=2$

Step-by-step explanation:

Problem 1:

The angles $\angle 3$ and $\angle 7$ are corresponding, and thus are equal to each other. We can then set up the following equation:

$5x+2=27,\\5x=25,\\x=\fbox{ 5 }$.

Problem 2:

The angles $\angle 6$ and $\angle 4$ are supplementary, meaning they add up to $180^{\circ}$. Therefore, we have the following equation:

$18x+144=180,\\18x+36,\\x=\fbox{ 2 }$.

Answer 2

Answer:

1st answer is 5°

Step-by-step explanation:

Z3 = Z7

or, 5x + 2 = 27°

or, 5x = 25°

or, x = 5°

:-))