{will give brainiest}
In quadrilateral ABCD, m∠A = 8x-65,
m∠B = 6x-53,
M ∠ C = x+ 121,
and m ∠ D = 6x+21.

a. Find m∠A, m∠B, M ∠ C , and m ∠ D .

b. Classify quadrilateral ABCD as a kite, trapezoid, or isosceles trapezoid. Justify
your answer.

c. What is true of the side lengths?

will give brainiest In quadrilateral ABCD mA 8x65 mB 6x53 M C x 121 and m D 6x21 a Find mA mB M C and m D b Classify quadrilateral ABCD as a kite trapezoid or i class=

Respuesta :

Answer:

  • Sum of interior angles of a quadrilateral is 360°

Find x first:

  • m∠A + m∠B + m∠C + m∠D = 360°
  • 8x - 65 + 6x - 53 + x + 121 + 6x + 21 = 360
  • 21x + 24 = 360
  • 21x = 336
  • x = 336/21
  • x = 16

Find angle measures:

  • m∠A = 8*16 - 65 = 63°
  • m∠B = 6*16 - 53 = 43°
  • m∠C = 16 + 121 = 137°
  • m∠D = 6*16 + 21 = 117°

Each angle has a different measure, it means the sides are all different.

The quadrilateral ABCD is likely a trapezoid.

Answer:

360°.....................