Question

The measure of B is (3x-4) The measure of D is (2x-6) what are the measures of angles B and D?

Answer 1

M<B = 110

M<D=70

Explanation:

Answer 2

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°