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Alina [70]
2 years ago
14

Find the measure of each acute angle of right triangle ABC with m

Mathematics
2 answers:
gregori [183]2 years ago
4 0

Answer:

The value of the angles are 38° and 52° respectively

Let the acute angles be represented by a and b.

Based in the information given,

a = 2(b - 12)

a = 2b - 24.

Note that the angle in an acute angle equals to 90°.

Therefore,

a = 90 - b.

a = 2b - 24

Equate the equations together

90 - b = 2b - 24

2b + b = 90 + 24

3b = 114

b = 114/3

b = 38

Therefore, a will be:

= 90° - 38° = 52°

The value of the angles are 38° and 52° respectively.

Step-by-step explanation:

Vikki [24]2 years ago
4 0

Answer:

38 52

Step-by-step explanation:

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