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the angle of a quadrilateral are m,3m,2m, and 3m in that order
(A) write an equation in m
(B)find m
(C)find the angle of a quadrilateral
(D) make a sketch of the quadrilateral
(E)what kind of quadrilateral is it?
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Verified Answer :

Answer:

(A) let's write the equation in terms for m for the sun of angles in a quadrilateral:

m + 3m + 2m + 3 m = 360 m

8m = 360 m

(B) to find m:

8 m = to 360

m is equal to 360/8

(C) finding the angles of quadrilateral:

Angle 1 = m = 45

Angle 2 = 3 m is equal to 3 45 = 135

Angle 3 = 2 m is = 2 45 = 90

Angle 4 = 3m = 3 * 45 = 135

(D) Making a sketch of quadrilateral:

Please visualize a quadrilateral with angles 45° ,135°, 90° and 135° in clockwise order.

(E) Determining the types of quadrilateral:

Since all angles are less than 180° and the sum of angles is 360° this quadrilateral is a convex quadrilateral

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