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dlinn [17]
3 years ago
8

Pls help me. i need it

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
5 0

Answer:

option 2 is correct

Step-by-step explanation:

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22. The measures of the angles of ADEF are in the ratio 2:4:4. What are the
denis23 [38]

The measures of the angles of Δ DEF are 36° , 72° , 72°

Step-by-step explanation:

The sum of the measures of the interior angles in any triangle is 180°

In Δ DEF

The ratio between the measures of its interior angles is 2 : 4 : 4

To find the measure of each angle

1. Find the sum of the ratio between the measures of its angles

2. Divide 180° by the sum of the ratio

3. Multiply the quotient by each ratio

∵ The ratio between the measures of the angles of Δ DEF = 2 : 4 : 4

∴ The sum of the ratio = 2 + 4 + 4 = 10

→    m∠D    :    m∠E    :    m∠F    :   sum of the ratio

→    2          :    4          :    4          :   10

→    ?          :     ?          :    ?          :   180°

Divide 180 by 10, then multiply the quotient by the components of

the ratio to find the measure of each angle

∵ m∠D = (2)\frac{180}{10}

∴ m∠D = 36°

∵ m∠E = (4)\frac{180}{10}

∴ m∠D = 72°

∵ m∠F = (4)\frac{180}{10}

∴ m∠F = 72°

The measures of the angles of Δ DEF are 36° , 72° , 72°

Learn more:

You can learn more about the ratio in brainly.com/question/2707032

#LearnwithBrainly

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