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11Alexandr11 [23.1K]
3 years ago
13

I'll mark brainliest thanks in advance ​

Mathematics
2 answers:
pav-90 [236]3 years ago
8 0

9514 1404 393

Answer:

  (a)  62°

Step-by-step explanation:

Let 'a' represent the angle. Then its complement is (90-a) and its supplement is (180-a). The relation given in the problem statement is ...

  (180 -a) = 6 +4(90 -a)

 180 -a = 366 -4a . . . . . . . . eliminate parentheses

  3a = 186 . . . . . . . . . . add 4a -180

  a = 62 . . . . . . . . . divide by 3

The measure of the angle is 62°.

_____

<em>Additional comment</em>

It is just about as easy to solve for the complement of the angle. Of course, the supplement is 90° more than the complement.

  x +90 = 6 +4x . . . x is the complement of the angle

  84 = 3x . . . . . . . . subtract x+6

  28 = x . . . . . . . . . divide by 3

  90 -x = 62 . . . . . the angle of interest

beks73 [17]3 years ago
5 0

Answer:

i think it's either 31 or 28

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keeping in mind that perpendicular lines have negative reciprocal slopes, hmmm what's the slope of the equation above anyway?

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\bf \stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{\cfrac{2}{3}}\qquad \qquad \qquad \stackrel{reciprocal}{\cfrac{3}{2}}\qquad \stackrel{negative~reciprocal}{-\cfrac{3}{2}}}

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Read 2 more answers
Whoever answers correctly gets 45 points
dimulka [17.4K]

m<1=23

m<2=90

m<3=67

m<4=113

m<5=67

the square means it is 90° so 2 is 90°.

all of the angles combined equals 360 so.

360-67-90= 203

since there is a straight line splitting down the middle. m<4=180-67=113

so m<4=113

now you would go 360-67-113-90=90 so

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180-90-67=23.

m<1=23

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