the angle of a triangle are (2x-8)° (6x-4)° (4x)°.find the value of x,and the measure of each angle
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3
Answer :
- x = 16°
- The angles of the triangle are 24° , 92° and 64°
Step-by-step explanation :
Given,
The angles of a triangle are
- (2x-8)°
- (6x-4)°
- (4x)°
To find,
- value of x
- measure of each angle
Solution,
we know,
The sum of all the angles in a triangle = 180°
2x - 8 + 6x - 4 + 4x = 180°
12x - 12 = 180°
12x = 180° + 12°
12x = 192°
x = 192/12
x = 16°
⇒ The value of x is 16°
=> 2x - 8 = 2(16) - 8
= 32 - 8
= 24°
=> 6x - 4 = 6(16) - 4
= 96 - 4
= 92°
=> 4x = 4(16)
= 64°
The measure of each angle :
- 24°
- 92°
- 64°
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