Answer: The smallest angle of the triangle is 32°
Explanation:
Given:
one side of the triangle= 8 cm
The other side of the triangle = 5 cm
Angle between AB and BC = 90°
⇒ ∠ABC = 90°
ΔABC is a right angled triangle
Use trigonometric function: For X
tanx= AB/CB
tanx= 8/5
x=tan-1 (8/5)
x= 58°
Use trigonometric function: For Y
tany= BC/AB
tany=5/8
y=tan-1 (5/8)
y = 32°
Making 32° be the smallest angle of the triangle