Question

The second angle of a triangle is 10 more than the first angle. The third angle is three times the first. Find the three angles.

First angle:
Second angle:
Third angle:

Answer 1

First, let one angle be a variable (eg: x) so that you can form expressions and solve.

Let the first angle be x°.

Then we can form expressions for the second and third angles using the information given.

First angle = x°

Second angle = (x + 10)°

Third angle = (3x)°

Since sum of angles in a triangle is 180°, we can form an equation.

x + (x + 10) + 3x = 180

Simplify and solve for x.

5x + 10 = 180

5x = 170

x = 34

Substitute x into the expressions to find the angles.

First angle = 34°

Second angle = 34 + 10

= 44°

Third angle = 3(34)

= 102°