msade5459 msade5459
  • 11-01-2024
  • Mathematics
contestada

One angle of a right triangle measures 66°. What is the measure of the other acute angle?

Respuesta :

jimthompson5910 jimthompson5910
  • 11-01-2024

Answer:  24 degrees

Explanation

The angles are: x, 66, 90

The three angles of any triangle always add to 180 degrees.

x+66+90 = 180

x+156 = 180

x = 180-156

x = 24

Or a slightly faster method would be

x+66 = 90

x = 90-66

x = 24

This shortcut is possible since the acute angles of a right triangle are complementary.

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