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Geometry, please answer question ASAP

Geometry, please answer question ASAP-example-1
User Alpagut
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2 Answers

10 votes
10 votes

Answer:

m<D = 170°

Explanation:

In a pentagon, the angles add up to 540°. This means the sum of <A, <B, <C, <D, and <E add up to that, and we can write an equation:

m<A + m<B + m<C + m<D + m<E = 540°

We are already given the measures of all the angles except D, so we can substitute them in:

87° + 125° + 63° + m<D + 95° = 540°

Now, we can simplify and solve for <D:

m<D + 370° = 540°

m<D = 170°

User Mitsuaki Ishimoto
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3.0k points
14 votes
14 votes
Magnitude of angle D = 170
Because,
Sum of interior angles of a pentagon = 540 degree
That is,
Angle A + angle B + angle C + angle D + angle E = 540 degree
87degree + 125 degree + 63 degree + 95 degree + angle D = 540 degree

So that gives angle D = 170 degree

Hope this helps.
ArmyCee:)
User Autodesk
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2.6k points