asked 26.9k views
5 votes
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The ratio of the three angles in a triangle are 1:2:6. Work out the size of each angle.
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asked
User Alishia
by
8.3k points

1 Answer

6 votes

Answer:

20° , 40° , 120°

Explanation:

sum the parts of the ratio, 1 + 2 + 6 = 9 parts

divide the sum of the angles in a Δ , 180° by 9 to find the value of one part of the ratio.

180° ÷ 9 = 20° ← value of 1 part of the ratio, then

2 parts = 2 × 20° = 40°

6 parts = 6 × 20° = 120°

the 3 angles are 20° , 40° and 120°

answered
User Keithgaputis
by
8.0k points

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