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balandron [24]
3 years ago
11

Given that AB is a line segment and the angle

Mathematics
1 answer:
gayaneshka [121]3 years ago
7 0

Answer:

The value of x is 28°

Step-by-step explanation:

Here, In a given fugue, a = 40°

We know that, A straight angle is an angle equal to 180°

So,

a + 2x + 3x = 180°

40° + 5x = 180°

Subtract 40 from both side

40° - 40° + 5x = 180° - 40°

5x = 140°

Divide by 5 from both side

5x/5 = 140°/5

x = 28°

Thus, The value of x is 28°

<h3 /><h3><u>FOR</u><u> </u><u>VERIFICATION</u><u> </u><u>ONLY:</u></h3>

<u>a + 2x + 3x = 180°</u>

40 + 2(28) + 3(28) = 180°

40° + 56° + 84° = 180°

180° = 180°

Hence, L.H.S = R.H.S

<u>-TheUnknownScientist</u>

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