Respuesta :

Answer:

x = 29 , ∠ C = 93°

Step-by-step explanation:

(a)

The sum of the 3 angles in a triangle is 180°

sum the 3 angles, equate to 180 and solve for x

35 + 52 + 3(x + 2) = 180 ← distribute parenthesis on left side and simplify

87 + 3x + 6 = 180

3x + 93 = 180 ( subtract 93 from both sides )

3x = 87 ( divide both sides by 3 )

x = 29

(b)

substitute x = 29 into the expression for ∠ C

∠ C = 3(x + 2) = 3(29 + 2) = 3(31) = 93°

nonsensv

Answer:

Part A answer: 29

Part B answer: 93 degrees

Step-by-step explanation:

A triangle always has a total of 180 degrees.

Part A:

First we find 3(x+2) which is 3x + 6 when the 3 is distributed.

Now we set up the following equation & solve,

35 + 52 + 3x + 6= 180

93 + 3x = 180

We subtract 93 on both sides and get ↴

3x = 87

We divide both sides by 3 and get ↴

x= 29

Thus the answer to part A is that the value of x is 29.

Part B:

To find the measure of angle C we simply plug in the value we found for x into the equation and solve ↴

3(x + 2) --> 3(29 + 2) & we solve what's in the parentheses first & get the following --> 3(31)= 93

Thus the answer to part B is that the measure of angle C is 93 degrees.