Question

find the value of b and c​

Answer 1

Answer:

Step-by-step explanation:

(6b-21)°+(5b-52)° = 180°(sum of interior angles on the same side of transversal)

11b - 73° = 180°

11b = 253°

b = 23

3c = 6b-21 (vertically opposite angles)

3c = 6×23 - 21 = 117

c = 117/3 = 39

Answer 2

Answer:

b = 23, c = 39!

Full Step-by-step explanation:

Since the 2 horizontal lines are parallel,  we know that the only above (6b-21) is (5b-52). Rule of horizontal lines states that (6b-21)+(5b-52)=180. We can combine like terms to get

11b-73=180

Adding 73 to both sides gives us

11b=253

Dividing each side by 11 results in

b=23

So, 5b-52 is actually

5(23)-52

This equals to

115-52

Which is

63

Again, the rule of the horizontal line gives us

3c+63=180

We subtract 63 from both sides to get

3c=117

Dividing each side by 3 gives us

c=39!

We have our answer!

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