∠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.
2 answers:
-x+26=2x-10
+x +10 +x +10
36+3x
divde by 3
12=x
m∠D=2(12)-10
=24-10
=14
Answer:
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
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