Question

The second angle of a triangle is twice the first,
while the third angle of the triangle is 1.5 times
the second. What is the measure of the first
angle? Remember, the sum of the angles in any
triangle is 180 degrees.

Answer 1

Answer:

30°

Step-by-step explanation:

let the first angle be x then the second angle is 2x and the third angle is

1.5 × 2x = 3x , then

x + 2x + 3x = 180

6x = 180  ( divide both sides by 6 )

x = 30

The first angle = x = 30°

Answer 2

Answer:

30 degrees

Step-by-step explanation:

Like the problem said, all angles of a triangle should add up to 180 degrees.

Let x be the angle measure of the second angle.

That means the first angle is 1/2x and the third angle is 1.5x

Now that we've defined all of the angle measures in terms of x, we can now create our equation:

1/2x + x + 1.5x = 180

To solve the equation we have to combine like terms.

3x = 180 (divide both sides by 3)

x = 60

The second angle measure is 60 degrees. From the problem we know that the first angle measure is half the second angle measure so the first angle measure should be 60/2 or 30 degrees.

let me know if i'm wrong!!