Question

in a right triangle one of the acute angle is 4 times the other find its measure​

Answer 1

Answer:

The angles in the right triangle are: 18, 72 and 90.

Step-by-step explanation:

Let one of the acute angles of the right triangle = x

According to the information given, the other acute angle = 4x

The third angle is obviously = 90

Using angle sum property of a triangle,

x + 4x + 90 = 180

=> 5x + 90 = 180

=> 5x = 90

=> x = 18

The smallest angle = x = 18

The other acute angle = 4x = 72

The angles of the right triangle are 18, 72 and 90.

(All angle measurements are in degrees)