Question

3c+42°
5c-50°
c+4°
write your answer as an integer or as a decimal rounded to the nearest tenth.
c = \boxed{ }°
submit

Explanation:

Step1: Use exterior angle theorem

The exterior angle of a triangle is equal to the sum of the two non - adjacent interior angles. So, we have the equation: $3c + 42=(c + 4)+(5c-50)$

Step2: Simplify the right - hand side

Simplify $(c + 4)+(5c-50)$: $c+4 + 5c-50=6c-46$
So the equation becomes $3c + 42=6c-46$

Step3: Move the terms with c to one side and constants to the other

Subtract $3c$ from both sides: $42 = 6c-3c-46$
Which simplifies to $42 = 3c-46$
Then add 46 to both sides: $42 + 46=3c$
So, $88 = 3c$

Step4: Solve for c

Divide both sides by 3: $c=\frac{88}{3}\approx29.3$ (rounded to the nearest tenth)

Answer:

$29.3$