Question

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Answer 1

We can see that together, 13x° and 5y° make a right angle (they are called complementary angles).

$13x+5y=90$

We also see that 155° and 5y° make a straight angle, or a 180°-angle (they are called supplementary angles).

$5y+155=180$

Let's first solve for y.

$5y=180-155\\y=5$

Let's plug in our value of y and solve for x.

$13x+5(5)=90\\13x=65\\x=5$

Answer 2

5y and 155 create a straight line so:

5y + 155 = 180
5y = 25
y = 5

5y and 13x create a 90 angle so:

5y = 5(5) = 25

25 + 13x = 90
13x = 65
x = 5

Hope this helps :)