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°

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation: