Respuesta :
Hola User__________
Here is your Answer...!!!
____________________
Actually welcome to the concept of the Angle sum property...
The Angle sum property of a Quadilatetal =》
m/_A + m/_B + m/_C + m/_ D = 360°
Thus adding all the angles we get as....
=》 X + X + X+ 15° + X + 45° = 360°
=》 4X + 60° = 360°
thus ..4X = 360 - 60 = 300
Thus .. 4X = 300
X = 300 ÷ 4 =》 75°
X = 75°
Answer: 75
Step-by-step explanation:
The sum of the angles of a quadrilateral is 360°
(x) + (x) + (x + 15) + (x + 45) = 360
4x + 60 = 360
- 60 - 60
4x = 300
÷4 ÷4
x = 75
Since the choices provided do not include 75, i worked each answer backwards to see if 15 degrees and/or 45 degrees was a typo:
A) 4(81) + y = 360 --> y = 36
B) 4(61) + y = 360 --> y = 116
C) 4(71) + y = 360 --> y = 76
D) 4(51) + y = 360 --> y = 156
Check to see if one of the x's had another number added to it.
A) if x - 24 is missing
B) if x + 56 is missing
C) if x + 16 is missing
D) if x + 96 is missing
My best guess is A or C