Question

Please help me thank you.

Answer 1

Question 1:
Find the last angle to make things easier.
The sum of all angles in a triangle is 180
180 - 58 - 61 = 61
Angle F = 61
We have an isosceles triangle where FD = ED
That's one of your answer choices.
The third answer choice is your answer.

Question 2:
It doesn't matter if these two triangles aren't congruent.
Imagine that the dividing line suddenly disappeared.
You would have an isosceles triangle.
That means 5x = 3x + 28
Solve that equation
5x = 3x + 28
Subtract both sides by 3x
2x = 28
Divide both sides by 2
x = 14
The answer is the first choice.

Have an awesome day! :)

Answer 2

Answer 1)

61+58=119
180-119=61
F angle=61° so

|ED|=|FD|

Answer 2)

This is a isosceles triangle so 5x=3x+28 you have to leave "x" alone in this equation.
5x-3x=28
2x=28
2x/2=28/2
x=14