Question

The measure of angles of a triangle are x°, (x - 20)°, (x - 40)° Find the measure of each angle *

2 points

50°, 30°, 100°

20°, 100°, 60°

80°, 60°, 40°

120°, 30°, 20°

​

Answer 1

Answer:

C) option

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Answer 2

Answer:

Given,

The measure of angles of a triangle are x°, (x - 20)°, (x - 40)°.

w.k.t,

Sum of all angles of a triangle = 180°

=> x° + (x - 20)°+ (x - 40)° = 180°

=> x° + x° - 20°+ x° - 40° = 180°

=> ( x + x + x )° + ( - 20 - 40 )° = 180°

=> ( 3x )° + ( - 60 )° = 180°

=> 3x° - 60° = 180°

=> 3x° = 180° + 60°

=> 3x° = 240°

=> x° = 240°/ 3

=> x° = 80°

Now,

Finding the measure of each angle,

Angle 1 = x°

= 80°

Angle 2 = (x - 20)°

= ( 80 - 20 )°

= 60°

Angle 3 = (x - 40)°

= (80 - 40)°

= 40°

Hence the angles are 80° , 60° and 40° respectively.

Option ( C ) is correct.

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