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german
3 years ago
6

One angle of a triangle is twice as large as another. The measure of the third angle is 60° more than that of the smallest angle

. Find the measure of each angle.
The measure of the smallest angle is º


Please help :)

Mathematics
1 answer:
Naddik [55]3 years ago
8 0

Answer:

The measure of the smallest angle is 30º

Step-by-step explanation:

Let the angles be:

x \to the first angle (the smallest)

y \to the second angle

z \to the third angle

So, we have:

y = 2x

z=x + 60

Required

Find x

The angles in a triangle is:

x + y +z = 180

Substitute values for y and z

x + 2x +x + 60 = 180

4x + 60 = 180

Collect like terms

4x = 180-60

4x = 120

Divide by 4

x = 30

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