Question

Triangle ABC has angle measures as shown A x-5 B 3x+30 C 35 qhat is the value x

Answer 1

The value of x = 30

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°

Answer 2

`x=30\ degrees`

`m<A=25\°`

`m<B=120\°`

Explanation:

we know that

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

so

`(x-5)+(3x+30)+(35)=180\°`

solve for x

`4x=180\°-60\°`

`4x=120\°`

`x=30\°`

`m<A=x-5=30\°-5\°=25\°`

`m<B=3x+30=3*30\°+30\°=120\°`