In a right-angled triangle, the degree measures of the largest and smallest outside

In a right-angled triangle, the degree measures of the largest and smallest outside catches are 8: 5. Find the acute angles of this triangle.

The minimum outside angle at the vertices of a right-angled triangle is the outside angle at the vertex of the right angle.

The outer angle ACE, at the apex of the right angle, is 900.

Then 5 * X = 90.

X = 16.

Then the largest angle ВAD = 8 * 16 = 144.

The inner corner of the BAC, adjacent to the outer corner of the BAC, the sum of which is 1800.

Then the angle BAC = (180 – ВAD) = (180 – 144) = 36.

The sum of the acute angles of a right-angled triangle is 90, then the angle CAB = (90 – BAC) = (90 – 36) = 54.

Answer: The acute angles of the triangle are 36 and 54.