Question

In ΔCDE, m ∠ C = ( x − 4 ) ∘ m∠C=(x−4) ∘ , m ∠ D = ( 11 x − 11 ) ∘ m∠D=(11x−11) ∘ , and m ∠ E = ( x + 13 ) ∘ m∠E=(x+13) ∘ . Find m ∠ C . m∠C.

Answer 1

Answer: <C =10°

Explanation:

Answer 2

<C =10°

Explanation:

The sum of angles in a triangle is 180°. Hence,

<C+<D+<E =180

Given

<C =x-4

<D = 11x-11

<E = x+13

Substitute

x-4+11x-11+x+13 = 180

13x-2 = 180

13x =180+2

13x = 182

x = 182/13

x = 14

Get <C

Since <C = x-4

<C = 14-4

<C =10°