Question

Answer this please, thank you !

Answer 1

m∠ADC=55°

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°