Question

Please help, thank you very much to whoever helps.​

Answer 1

x = 20

m<B = 92

m<C = 40

(m<A = 48)

Explanation:

triangles are 180 degrees

add up the sides

48 + (6x-28) + 2x

8x + 20 = 180

8x = 160

x = 20

put 20 where the x is for B and C

B.

6(20)-28 =

120 - 28 =

92

C.

2(20) =

40

Answer 2

x = 20

B = 92°

C = 40°

Explanation:

The sum of the interior angles of a triangle is 180°

⇒ A + B + C = 180°

⇒ 48 + (6x - 28) + 2x = 180

⇒ 48 + 6x - 28 + 2x = 180

⇒ 48 - 28 + 6x + 2x = 180

⇒ 20 + 8x = 180

⇒ 8x = 180 - 20

⇒ 8x = 160

⇒ x = 160 ÷ 8

⇒ x = 20

Now we have found x, simply substitute this into the expressions for angles B and C:

B = 6(20) - 28

= 120 - 28

= 92°

C = 2(20)

= 40°