If three angle of a triangle are x,3x and112 degree then find the value of x
Answers
Answered by
0
Answer:
x+3x+112°=180°
4x=180°-112°
x=68°/4
x=17°
Answered by
2
The value of x is 17
Explanation:
Given:
Three angles of a triangle
∠A=x
∠B=3x
∠C= 112°
To find:
The value of x
FORMULA:
Sum of the triangle = 180°
==> ∠A+∠B+ ∠C = 180°
==> Substitute the given values in the formula
==> x+3x+112° =180°
==> 4x+112° =180°
==> 4x = 180°-112°
==> 4x = 68°
==> x = 68°÷4
==> x = 17
The value of x is 17
Substitute the x value and check the answer is correct
∠A=17°
∠B=3(17)= 51°
∠C= 112°
To check whether the x value is correct or not :
==> 17°+51°+ 112°= 180°
==> 68° + 112° =180°
==> 180° = 180°
Hence proved
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