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ratelena [41]
3 years ago
10

Answer this please, thank you !

Mathematics
1 answer:
vesna_86 [32]3 years ago
8 0

Answer:

m∠ADC=55°

Step-by-step explanation:

step 1

Find the value of x

we know that

m∠CDE+m∠EDF=180° ----> by supplementary angles (form a linear pair)

substitute the given values

(2x+1)\°+(x-7)\°=180\°

solve for x

2x+x=180+6

3x=186

x=62

step 2

Find the measure of angle ∠ADC

we know that

m∠ADC=m∠EDF ----> by vertical angles

m∠EDF=(x-7)°

substitute the value of x

m∠EDF=(62-7)°=55°

therefore

m∠ADC=55°

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