Math, asked by ramsmedicine, 4 months ago

pls tell me thses answers

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Answered by MasterUpadhyayHill
5

Answer:

(3)=2 (4)=3

Step-by-step explanation:

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Answered by Anonymous
15

Answer:

3) Given, the angles of a triangle are (x + 10), (x + 40) and (2x - 30) degrees.

We know that the sum of all angles of a triangle is 180°.

Thus, the following equation is formed:-

(x + 10) + (x + 40) + (2x - 30) = 180°

We solve the equation using the transposition method:-

  • x + 10 + x + 40 + 2x - 30 = 180° (opening the brackets)
  • 4x + 20 = 180°
  • 4x = 180° - 20 (transposing 20 to the RHS)
  • 4x = 160°
  • x = 160°/4 (transposing 4 to the RHS)
  • x = 40°

Thus, the correct option is the first part 40 degrees.

[Verification:-

Now that we know the value of x, let's find the value of the angles.

» (x + 10) = 40 + 10 = 50°

» (x + 40) = 40 + 40 = 80°

» (2x - 30) = 80 - 30 = 50°

50° + 80° + 50° = 180°. The triangle is possible.

Hence verified!]

4) By the angle sum property of the triangle, we know that the sum of all the angles of a triangle is 180°.

In the first part, the measures are 110°, 63° and 17° which sum up to 190°. This triangle isn't possible.

In the second part, the measures are 30°, 40° and 90° which sum up to 160°. This triangle isn't possible.

In the third part, the measures are 52°, 78° and 70° which sum up to 200°. This triangle isn't possible.

In the fourth part, the measures are 93°, 56° and 31° which sum up to 180°.

Thus, the correct option is the fourth part 93°, 56° and 31°.

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