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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°.

_____

Additional comment

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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what do u mean??? im confused...

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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

m<1 + m<3 =90

180-90-67=23.

m<1=23

360-67-23-90-113=67

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2 years ago

I'll mark brainliest thanks in advance ​

I'll mark brainliest thanks in advance