Triangle abc has angle measures as shown a x-5 b 3x+30 c 35 qhat is the value x

Step-by-step explanation:

we know that

The sum of interior angles in a triangle must be equal to 180 degrees

so

solve for x

The value of x = 30

Step-by-step explanation:

It is given that,

In triangle ABC,

<A = x - 5, <B =  3x + 30 and <C = 35

To find the value of x

<A + <B + <C = 180   [ angle sum property]

(x - 5 ) + (3x + 30 ) + 35 = 180

x - 5 + 3x + 30 + 35 = 180

x + 3x - 5 + 30 + 35 = 180

4x + 60 = 180

4x = 180 - 60

4x = 120

x = 120/4 = 30

Therefore the value of x = 30

To find <A and <B

<A = x - 5

<A = 30 - 5 = 25°

<B =  3x + 30

<B = 3*30 + 30 = 90  + 30 = 120°

option 1 is correct.

step-by-step explanation:

y varies inversely with x and constant of variation is 4

the equation will be:

y = k/x

where k =4 so,

y = 4/x

if we put values of x of option 1 in the above equation and find values of y

y = 4/-2 => y =-2

y = 4/-1 => y = -4

y = 4/1 => y = 4

y = 4/2 => y =2

so, all the values of x and y are correct.

if we put values of x given in other options and find value of y we cannot find whole table satisfying the equation.

hence option 1 is correct.

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step-by-step explanation: