Question

Will give brainliest Determine the following values!!!!!

Answer 1

Answer:

x = 26    m∠DAB =  80°      m∠ADC = 100°

Step-by-step explanation:

Given,

ABCD is a parallelogram in which AB ║ DC and AD║ BC.

m∠DAB = 4x-24  

m∠ADC = 2x+48

Solution,

Since ABCD is a parallelogram so sum of two consecutive angle is 180°.

$m\angle DAB+m\angle ADC=180\°\\4x-24+2x+48=180\°\\6x+24=180\°\\6x=180-24\\6x=156\\x=\frac{156}{6}=26$

Now substituting the value of x we get the value of ∠DAB and ∠ADC .

$m\angle DAB=4x-24=4\times26-24=104-24=80\°$

$m\angle ADC=2x+48=2\times26+48=52+48=100\°$

Thus the value of x is 26 and m∠DAB is 80° and m∠ADC is 100°