Question

Help geometry. find bdc

Answer 1

The value of ∠BDC is equal to 68°.

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°.