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2 years ago

Find the measure of each acute angle.

Mathematics

1 answer:

Alona [7]2 years ago

7 0

Answer:

(19x - 1)° = 56°

(13x - 5)° = 34°

Step-by-step explanation:

Property of the interior angles of a triangle:

Sum of interior angles of a triangle is 180°.

Therefore, sum of angles of the given right triangle will be,

(19x - 1)° + (13x - 5)° + 90° = 180°

32x - 6 + 90 = 180

32x = 96

x = 3

(19x - 1)° = 19×3 - 1 = 56°

(13x - 5)° = 13×3 - 5 = 34°

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