In the given figure, if the angles a and b are in the ratio 2:3, then angle c is:
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Given that , ∠a : ∠b = 2 : 3 .
Let the angles be 2x and 3x .
As from the figure we can see that ∠a + ∠b = 90° . {Right angle}
So ,
2x + 3x = 90
5x = 90
x = 90 / 5
x = 18
∠a = 2x = 18 × 2 = 36°
∠b = 3x = 3 × 18 = 54°
From figure we can see that ∠a and ∠c are on a straight line .
So , ∠a + ∠c = 180° {Linear angles}
36 +∠c = 180
∠c = 180 - 36
∠c = 144°
Hence , ∠c is 144° .
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