Answer:
The value of ∠BDC is equal to 68°.
Step-by-step explanation:
It is given that,
∠BDA is a straight angle.
ATQ,
∠BDC+∠ADC=180 (Linear pair)
-7x+12+(-8x)+48 = 180
-7x+12-8x+48 = 180
-15x+ 60 = 180
-15x = 180-60
-15x = 120
x = -8
So,
∠BDC = -7x+12
= -7(-8) + 12
= 56+12
= 68°
So, the value of ∠BDC is equal to 68°.
