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Mathematics

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Find the measures of the acute angles of the right triangle shown

Find the measures of the acute angles of the right triangle shown class=

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9514 1404 393

Answer:

2x° = 64°
(x-6)° = 26°

Step-by-step explanation:

The acute angles in a right triangle are complementary:

2x° +(x -6)° = 90°

3x = 96 . . . . . . . . . divide by °, add 6

x = 32 . . . . . . . . . divide by 3

(x-6)° = (32 -6)° = 26°

2x° = 2(32)° = 64°

The acute angles have measures 26° and 64°.

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