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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°
Read more about angles in a triangle at; https://brainly.com/question/7620723
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