Question

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Answer 1

Answer:

X=65

Step-by-step explanation:

110 + b = 180 (straight line)

110-180= angle b

=70 degree.

120+a =180 (straight line)

180- 120=a

=60 degree

angle c = angle b + ang a -180 ( triangle property)

70+60 -180

=50 degree

2x + 50 = 180 (straight line)

2x= 180-50

2x=130

x=130/2

=65

x = 65

Answer 2

Answer:

65 degree

Step-by-step explanation:

Let the sides of the triangle be x, y, z

exterior angle = sum of opposite angles

2x = x + y

110 = y + z

120 = z + x

x+ y + y + z + z + x = 2x + 110 + 120

2 (x + y + z) = 2x + 110 + 120

x + y + z = 180 degree by triangle sum property....

2 (180) = 2x + 110 + 120

360 = 2x + 110 + 120

2x + 110 + 120 = 360

2x + 230 = 360

2x = 360 - 230

2x = 130

x = 130 / 2

x = 65