Question

one acute angle of a right angle triangle measures 12° less than the other acute angle. find the measure each angle.

Answer 1

Let one of the angles be x. Thus, the acute angle's measure will be x - 12. The third angle is known to us, that is 90°.

By applying the angle sum property to the angles of the provided triangle,

x + x - 12 + 90 = 180

2x + 78 = 180

2x = 180 - 78

2x = 102

x = 102/2

x = 51°

Thus, the two angles are 51° and (51 - 12) = 39°.

Answer 2

Answer:

51 and 39

Step-by-step explanation:

Let one angle be = x

The third angle is 90°

By angle sum property

x + x-12 + 90° = 180

2x + 78° = 180°

2x = 180° - 78°

2x = 102°

x = 102/2

x = 51°

(51° - 12° = 39°)

The two angles are 51° and 39°