Question

19.1f the three angles at a point are in the ratio 1 : 4 : 7 find the value of cach angle?​

Answer 1

Answer:

We know that the sum of angles at a point is 360°.

Given the three angles are in the ratio 1 : 4 : 7.

Let the three angles be 1x, 4x, 7x.

∴ x° + 4x° + 7x° = 360°

12x° = 360°

x° = 360/12

x° = 30°

∴ 1x° = 30°

4x° = 4 × 30° = 120°

7x° = 7 × 30° = 210°

∴ The three angles are 30°, 120° and 210°.

Step-by-step explanation:

Please mark as the brainliest answer.

Answer 2

Step-by-step explanation:

$total = {360}^{0} \\ sum \: of \: the \: ratio \: sums \: \\ = 1 + 4 + 7 \\ = 12 \\ first \: angle = \frac{1}{12} \times{360}^{0} \\ = {30}^{0} \\ second \: angle = \frac{4}{12} \times {360}^{0} \\ = {120}^{0} \\ third \: angle = \frac{7}{12} \times {360}^{0} \\ = {210}^{0}$

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