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What are the measures of the angles in triangle abc? m∠a ≈ 46. 2°, m∠b ≈ 43. 8°, m∠c ≈ 90° m∠a ≈ 73. 0°, m∠b ≈ 17. 0°, m∠c ≈ 90° m∠a ≈ 73. 7°, m∠b ≈ 16. 3°, m∠c ≈ 90° m∠a ≈ 74. 4°, m∠b ≈ 15. 6°, m∠c ≈ 90°.

Sagot :

The respective measure of the missing angles for each scenario of triangle abc are;

1) m∠c = 90°

2) m∠b = 17°

3) m∠a = 73°

4) m∠c = 90°

5) m∠b = 15.6°

6) m∠a = 74.4°

Angles in a Triangle

We know that sum of the angles in a triangle is 180°.

Thus in a triangle ABC;

∠a + ∠b + ∠c = 180°

1) m∠a ≈ 46. 2°, m∠b ≈ 43. 8°

Thus;

m∠c = 180 - (46.2 + 43.8)

m∠c = 90°

2) m∠c ≈ 90° m∠a ≈ 73.0°

Thus;

m∠b = 180 - (90 + 73)

m∠b = 17°

3) m∠b ≈ 17° m∠c ≈ 90°

Thus;

m∠a = 180 - (90 + 17)

m∠a = 73°

4) m∠a ≈ 73. 7°, m∠b ≈ 16. 3°

Thus;

m∠c = 180 - (16.3 + 73.7)

m∠c = 90°

5) m∠c ≈ 90° m∠a ≈ 74. 4°

Thus;

m∠b = 180 - (90 + 74.4)

m∠b = 15.6°

6) m∠b ≈ 15. 6°, m∠c ≈ 90°.

Thus;

m∠a = 180 - (90 + 15.6)

m∠a = 74.4°

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