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3 years ago

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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Read 2 more answers

I'll mark brainliest thanks in advance ​

I'll mark brainliest thanks in advance