If ∠DBE is 40° and ∠BDC is 31° then the angle x will be equal to 71°.
What is triangle?
A triangle is a two dimensional figure having three sides, three angles and the sum of all the angles is equal to 180°.
How to find angle?
We have been given ∠DBE=40° and ∠BDC=31° and we have to find the angle ∠IHE which is x°.
Let the angle DHB equal to y.
In ΔBDH
∠DBH+∠BDH+Y=180 { Sum of all angles in a triangle is equal to 180}
40+31+y=180
71+y=180
y=180-71
y=109°
We know that sum of two angles on a line is equal to 180°.
So, x=180-109
x=71°
Hence the value of x is 71° if ∠BDC=31° and ∠DBE =40°.
Learn more about triangles at https://brainly.com/question/17335144
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