pls tell me thses answers
Answers
Answer:
(3)=2 (4)=3
Step-by-step explanation:
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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°.