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Ivenika [448]
3 years ago
6

What’s the measure of angle X?

Mathematics
1 answer:
Arada [10]3 years ago
4 0

Answer:

x = 84°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

129° is an exterior angle of the triangle, thus

x + 45° = 129° ( subtract 45° from both sides )

x = 84°

The 2 triangles formed by the tree/ shadow and Jordan/ shadow are similar and ratio of corresponding sides are equal, that is

let h be the height of the tree, then

\frac{h}{7} = \frac{50}{10} = 5 ( multiply both sides by 7 )

h = 35

The height of the tree is 35 ft

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