Question

Will give 100 points

Answer 1

x=28

m<ACD=68°

Explanation:

2x+(180-124)+(180-4x)=180

-2x+236=180

-2x=180-236

-2x=-56

x=28

m<ACD=180-4x=180-4(28)=180-112=68

Answer 2

The answer is <ACD = 68°

Explanation:

Using the property that the sum of interior angles in a triangle is equal 180°,we have:

<DAC + <ACD + <ADC = 180°

`2x + (180 - 4x) + 56 = 180 \\ - 2x + 56 = 0 \\ 2x = 56 \\ x = (56)/(2 ) \\ x = 28`

Finally, calculating the angle <ACD, we have:

<ACD = 180 - 4x

<ACD = 180 - 4 . 28

<ACD = 180 - 112

ACD = 68°