Answer:
Step-by-step explanation:
This is a cyclic quadrilateral
The rule of cyclic quadrilateral states that, the sum of the opposite is supplementary i.e 180°
Therefore, applying this rule
Angle B and D are supplementary
Then, B+D=180°
Given that, B=3x-4 and D= 2x-6
So,
(3x-4)+(2x-6)=180°
3x-4+2x-6=180°
3x+2x-4-6=180°
5x-10=180°
5x=180°+10
5x=190°
Then, x =190/5
x=38°
Then solving for B and D
B=3x-4
B=3(38)-4
B=114-4
B=110°
Also, D=2x-6
D=2(38)-6
D=76-6
D=70°
