Question

.Three lines intersect to form the triangle shown below. What is the value of x in degrees?


solve for x ( second pic) please show work

Answer 1

Answer:

Picture 1:

Opposite angles of intersecting lines are same.

Sum of all angles of a triangle is 180.

Thus, x = 180 -71 -69 = 40 degrees.

Picture 2:

Sum of all angles of a triangle is 180.

Thus,

55+54+x+74 = 180

i.e. x+183= 180

i.e. x = -3