Respuesta :

Answer:

ANSWER: ADC=82

bda = 144

(7x+34)+(9x+46)=144

16x+80=144

16x=64

x=4

9(4)+46=82

adc=82

Step-by-step explanation:

Answer:

82 degrees

Step-by-step explanation:

Angle BDA is 144 degrees.    GIVEN

Since angle BDC is 7x+34 degrees and angle CDA is 9x+46 degrees, we can figure out what x is by adding the two expressions.

7x+34+9x+46=144

First, combine like terms.

16x+80=144.

Then, subtract 80 on both sides.

16x=64

Dividing x on both sides gives us:

x=4

Since the question asked to find angle ADC, we substitute x into 9x+46.

This becomes 36+46=82.