Answer:
x = 29
angle c = 93
Explanation:
Angles in a triangle add up to equal 180
That being said we create an equation to solve for x
180 = 3(x+2) + 52 + 35
Now we solve for x using basic algebra
step 1 distribute the 3 to ( x and 2 )
3 * x = 3x
3 * 2 = 6
now we have 180 = 3x + 6 + 52 + 35
step 2 combine like terms
6 + 52 + 35 =93
now we have 180 = 93 + 3x
step 3 subtract 93 from each side
93 - 93 cancels out
180 - 93 = 87
now we have 87 = 3x
step 4 divide each side by 3
3x / 3 = x
87 / 3 = 29
we're left with x = 29
Now we want to find the measure of angle C
To do so we plug in 29 for "x" in 3 ( x + 2)
3 ( 29 + 2 )
29 + 2 = 31
3(31) = 93
Hence angle c = 93