∠c and ∠d are vertical angles with m∠c=−x+26 and m∠d=2x−10 . what is m∠d ? enter your answer in the box.

m∠D=14

Step-by-step explanation:

∠C and ​ ∠D ​ are vertical angles with m∠C=−x+26 and m∠D=2x−10

Vertical angles are equal. So equate the angles C  and d  . Solve for x

m∠C=m∠D

Subtract 2x from both sides

Subtract 26 from both sides

Divide both sides by -3

x=12

m∠D=2x−10

Substitute 12 for x

m∠D=2(12)−10=24-10= 14

step-by-step explanation: