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Ira Lisetskai [31]
3 years ago
13

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

Mathematics
2 answers:
RoseWind [281]3 years ago
7 0

Answer:

M<B = 110

M<D=70

Step-by-step explanation:

Vesnalui [34]3 years ago
3 0

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°

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