In ΔCDE, \text{m}\angle C = (x-4)^{\circ}m∠C=(x−4) ∘ , \text{m}\angle D = (11x-11)^{\circ}m∠D=(11x−11) ∘ , and \text{m}\angle E = (x+13)^{\circ}m∠E=(x+13) ∘ . Find \text{m}\angle C. m∠C.

The measure of C is 10°

Step-by-step explanation:

In a triangle CDE, its internal angles are given:

C=x-4

D=11x-11

E=x+13

Since the sum of the internal angles of a triangle is 180°:

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

Simplifying:

13x-2=180

Adding 2:

13x=182

Solving:

x=182/13

x=14°

The measure of the angles is:

C=x-4 =10°

D=11x-11=143°

E=x+13=27°

The measure of C is 10°

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a line is an defined derm because it

a)contains an infinite number of points b) can be used to create other geometric shapes c)describes something that does not have width or depth d) is a term that does not have a formal definition. a line is an undefined term because it: contains an infinite number of points.