Question

Std: X
beasures of two angles of a triangle are in the ratio 5:3. The measure
of the third angle is half the difference of the measure of the above two
angles. Find the measure of each angle.
15points

Answer 1

Step-by-step explanation:

let the angles be 5x and 3x.

then, third angle = 1/2(5x-3x)

=1/2(2x)

=x

now, by angle sum property,

5x+3x+x=180

9x=180

x=20

hence, the angles are 60°, 100°, and 20°.

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Answer 2

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