161k views
3 votes
Please answer the question in the screenshot below

Please answer the question in the screenshot below-example-1
User Alan Araya
by
5.8k points

2 Answers

1 vote

Answer:

x = 20

∠B = 92

∠C = 40

Explanation:

im pretty sure

User Ehudt
by
4.7k points
4 votes

Answer:

x = 20. ∠B = 92° and ∠C = 40°

Explanation:

Angles of a triangle are ∠A = 48°, ∠B = (6x - 28)° and ∠C = (2x)°

Since sum of all the angles of the triangle is 180°

So ∠A + ∠B + ∠C = 180°

48° + (6x - 28)° + (2x)° = 180°

48 + 6x - 28 + 2x = 180

8x + 20 = 180

8x = 180 - 20

8x = 160

x =
(160)/(8)=20

Now ∠B = (6x - 28) = 6×20 - 28

∠B = 120 - 28 = 92°

And ∠C = 2x° = 2×20 = 40°

Therefore, x = 20. ∠B = 92° and ∠C = 40° is the answer.

User Jeff Kotula
by
6.2k points
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