Answer:
x=50, angle D=110 degrees
Step-by-step explanation:
From the picture, we can know that this is a isosceles triangle, and we know that in an isosceles triangle, two base angles are equal.
Since we know that one base angle (angle E) equals 35 degrees, then the other base angle (angle F) will also be 35 degrees.
We know that the angles of a triangle add up to 180 degrees, and so we can get the measurement of angle D: 180-35(angle E)-35(angle F)=110(angle D)
The picture shows that angle D is 2x+10 degrees, and since we know that angle D is actually 110 degrees, we can get this equation: 2x+10=110
Solving the equation:
2x+10=110
2x=100
x=50
Now we get the answer
Hope this will help:)