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sertanlavr [38]
3 years ago
6

Based on the figure below, what is the value of x? A right angle is shown divided in two parts. The measure of the angle of one

part is 50 degrees and the measure of the other part is 5x plus 15 degrees.

Mathematics
2 answers:
SOVA2 [1]3 years ago
6 0

Answer:

11

Step-by-step explanation

Helga [31]3 years ago
4 0

5 that's the answer, so why do you need an explanation?

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Double Points! (i have no clue how to do this)<br> Find the value of the variables in the figure.
Aleks [24]

Answer:

x=12 and y=31

Step-by-step explanation:

First, ( 5x - 7 ) and ( 3x + 17 ) are alternate interior angles, which means they are congruent, or equal:

5x - 7 = 3x + 17

Add 7 to each side:

5x = 3x + 24

Subtract 3x from both sides:

2x = 24

Divide each side by 2:

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Now we can see that ( 5x - 7 ) and ( 4y + 3 ) are supplementary angles, which means they will add up to 180 degrees:

5x - 7 + 4y + 3 = 180

Substitute 12 in for x to solve for y:

5 ( 12 ) - 7 + 4y + 3 = 180

60 - 7 + 4y + 3 = 180

combine like terms:

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Subtract 56 from each side:

4y = 124

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