∠c and ∠d are vertical angles with m∠c=−3x+58 and m∠d=x−2 . what is m∠d ? enter your answer in the box

∠C and ∠D are vertical angles

so <C = <D because vertical angles are equal

Substitute

−3x + 58  = x−2

Solve for x

Subtract x from both sides

-4x + 58 = - 2

Subtract 58 from both sides

-4x = - 60

Divide both sides by -4

x = 15

<D = x−2  = 15 - 2 = 13

Answer

<D = 13°

The measure of angle D is 13°

Step-by-step explanation:

-3x+58=x-2

+3x to each side

58=4x-2

Add 2 to each side

60=4x

Divide each side by 4

X=15

Now substitute that in:

-3(15)+58=13

(15)-2=13

The measure of angle D is 13°

there are infinitely many solutions.

final total: 63

step-by-step explanation:

60 times sales tax

60 times 0.05

3

60 + 3

63