Answer:
18°, 72° and 90°.
Step-by-step explanation:
It is given that the three interior angles have the measurements which are in a 1 : 4 : 5 ratio.
Let us assume x, 4x, and 5x are the three angles.
Now, from the property of triangles, the sum of all the interior angles is 180°.
Therefore, x + 4x + 5x = 180
⇒ 10x = 180
⇒ x = 18
Therefore, the angles of the triangle are 18°, 72° and 90°. (Answer)
