Question

the angles of a triangle are (x-4) . (x-20). and (1/2x-10) find the value of x



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Answer 1

Answer:

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Answer 2

Step-by-step explanation:

Given: Angle of a triangle are (x-4),(x-20) and (1/2x-10)

we know that,

sum of all angles of triangle is 180°

angleA+angle B+angleC= 180°. ---------- linear pair

substitute the angles

(x-4)+(x-20)+(1/2x-10)= 180°

x-4+x-20+1\2x-10= 180°

x+x+x/2-4-20-10= 180°

2x+x/2-34= 180°

2x+x/2= 180+34

2x+x/2= 214

Taking LCM so we get,

5x/2= 214

2 will go to multiple 214

5x= 214×2

5x= 228

x= 228/5

x= 45.6