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39 votes
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 :)

One angle of a triangle is twice as large as another. The measure of the third angle-example-1
User Andy Dent
by
2.8k points

1 Answer

11 votes
11 votes

Answer:

The measure of the smallest angle is 30º

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

User D Ferra
by
3.1k points
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