Question

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In right angle triangle, one of the acute angle exceeds other by 20°. Find measure of all angles of triangle
From lesson linear equation in two veriables...
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Answer 1

its right angle triangle

one angle is 90

and sum of other 2 also 90

As one acute exceeds other by 20

let one angle be x

other = x+20

x+x+20 = 90

2x = 90-20 = 70

x= 35

angles are 35, 35+20,90

35, 55,90

Answer 2

Answer:

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let one of acute angle be = x.

let other acute angle be = x - 20

we know that ,

the sum of the angles in a triangle =180

90 + x + ( x - 20 ) =180

90 + 2x -20 = 180

70 + 2x = 180

2x = 180 - 70

2x = 110

x = 110 /2

x = 55.

∴ The one of acute angle = x

= 55.

∴ the other acute angle = x - 20

= 55 - 20

= 35.

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