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
