Question

16. In the given figure, find the value of x​

Answer 1

Answer:110

Step-by-step explanation:

Angle CBD = 65

X= 110

Answer 2

Answer:-

→x= 110°

Explanation:-

→We know that, the sum of all angles in a triangle is 180°. Now,

Consider ∆ACB, here,

angle CAB + angle ACB + angle ABC = 180°

=> 35° + 30° + angle ABC = 180°

=> 65° + angle ABC = 180°

=> angle ABC = 180° - 65°

=> angle ABC = 115°

Now, as we can see that AD is a line segment. Hence, the angles formed upon it will form a linear pair. (180°)

Therefore,

angle CBA + angle EBD = 180°

=> 115° + angle EBD = 180°

=> angle EBD = 180° - 115°

=> angle EBD = 65°

Now, angle CED = angle EBD + angle EDB

[ Exterior angle of a triangle is the sum of interior opposite angles]

=> x = angle EBD + 45°

=> x = 65° + 45°

=> x= 110°

Hope it helps ☑