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dusya [7]
4 years ago
15

∠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.

Mathematics
2 answers:
Musya8 [376]4 years ago
8 0
-x+26=2x-10
+x +10  +x +10
36+3x
divde by 3
12=x

m∠D=2(12)-10
        =24-10
        =14
lesya [120]4 years ago
7 0

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

-x+26=2x-10

Subtract 2x from both sides

-3x+26=-10

Subtract 26 from both sides

-3x=-36

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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