Question

In the given figure, if ∆EAT ~ ∆BUN,
find the measure of all angles.​

Answer 1

Answer:

angle NBU =40

Angle BNU =80

Angle BUN =60

Step-by-step explanation:

BOTH BOTH THE TRIANGLES ARE SIMILAR SO THE ANGLES WOULD BE ALSO SIMILAR..

Answer 2

Step-by-step explanation:

$Given: \triangle \: EAT \sim \triangle \: BUN \: \\ \angle E \cong\angle B = x \degree\\ \angle A \cong\angle U = 2x \degree \\ \angle T \cong\angle N = (x + 40)\degree \\ \therefore \: in \: \triangle \: BUN \: \\ \angle B + \angle U + \angle N = 180\degree \\ x + 2x + (x + 40) = 180\degree \\ 4x + 40\degree = 180\degree \\ 4x = 180\degree - 40\degree \\ 4x = 140\degree \\ x = 35 \degree \\ 2x = 70 \degree \\ x + 40 \degree \: = 35\degree + 40 \degree \\ = 75 \degree \\ hence \: \\ \angle E = \angle B = 35\degree \\ \angle A = \angle U = 70 \degree \\ \angle T = \angle N =75 \degree$