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ExtremeBDS [4]
4 years ago
10

Help pls pls pls pls

Mathematics
1 answer:
adelina 88 [10]4 years ago
4 0

Answer:

m∠1= 41°

m∠2= 85°

m∠3= 95°

m∠4= 85°

m∠5= 36°

m∠6= 49°

m∠7= 106°

Step-by-step explanation:

<u>To find m∠2</u>

95+m∠2= 180

-95             - 95

m∠2= 85

<u>To find m∠4</u>

Since they are vertical angles, m∠2=m∠4, that means that they are both 85°

<u>To find m∠1</u>

There is four angles in this shape, so the sum is 360 degrees.

90+144+85+m∠1= 360

319+m∠1= 360

-319            -319

m∠1= 41°

<u>To find m∠5</u>

144+m∠5= 180

-144             -144

m∠5= 36°

<u>To find m∠6</u>

m∠5+m∠3+m∠6= 180

36+95+m∠6= 180

131+m∠6= 180

-131             -131

m∠= 49°

<u>To find m∠7</u>

You need to find the sum of the other unidentified angle.

m∠6+m∠=180

49+m∠= 180

-49            -49

m∠= 131

Now you need to find the sum of all the angles in the quadrilateral to get the measure for angle 7.

131+38+85+m∠7= 360

254+m∠7= 360

-254            -254

m∠= 106°

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