one angle of a triangle is the sum of its other two angles . The two smaller angles are in the ratio 2:3. What are the angles of the triangle?
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The angles of the triangle are 90°, 36°, and 54°.
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Step-by-step explanation:
Let the angles be P
And ratio part be P
According to question
3P=2P+P{given One angle of a triangle is the sum of its other two angles .}
2P+3P+P=180°{since the sum angles of Δ is180°}
So,
=>2P+3P+P=180°
=>6P=180°
Therefore P=180°/6
=30°
2P=2x30°
=60°
3P=3x30°
=90°.
And also 90°=30°+60°
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