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2 years ago

Find the measure of each acute angle in the figure.

Mathematics

1 answer:

Artist 52 [7]2 years ago

4 0

Answer:

Angle 1 = 46°

Angle 2 = 44°

Step-by-step explanation:

Given:

Angle 1 = (4x - 2)°

Angle 2 = (3x + 8)°

Angle 3 = 90°

Find:

All acute angle

Computation:

Using angle sum property

Angle 1 + Angle 1 + Angle 1 = 180°

(4x - 2)° + (3x + 8)° + 90° = 180°

7x + 6 = 90

7x = 84

x = 12°

So,

Angle 1 = (4x - 2)° = 4(12) - 2 = 46°

Angle 2 = (3x + 8)° = 3(12) + 8 = 44°

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