Question

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 :)

Answer 1

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

$x = 30$