find the value of x in the figure

Answer:
25°
Step-by-step explanation:
from the triangle on the left, angles BAD and BDA are equal
angles in a triangle add up to 180°
so 180 - 80 = 100 /2 = 50°
now the straight line ADC angle is 180°
so 180° - 50° = 130 ° for angle BDC
the angle for x is the same as angle DBC
for the triangle on the right angles must add up to 180°
180 - 130 = 2x
50 = 2x
25° =x
Answer:
50
Step-by-step explanation:
let a,b
a=b being base angles.of isoceles triangle
80+a+b=180 sum of angles of triangle
80+a+a=180
2a=100
a=50
80+a+x=180 being sum of angles of triangle
50+a=100
x=50