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Lera25 [3.4K]
3 years ago
9

The ratio of the three angles of a triangle is 9:13:3. What is the measure of the MIDDLE angle?

Mathematics
1 answer:
GrogVix [38]3 years ago
3 0

Answer:

64.8°

Step-by-step explanation:

in the given ratio 9:13:3 the required middle angle is presented as 9;

1) if the sum of the angles of triangle is 180, then the given ratio can be re-written as

9x+13x+3x=180, ⇒ x=36/5;

2) if x=36/5, then the required measure of the middle angle can be calculated:

m(∠MIDDLE)=9*36/5=64.8°.

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