Question

The second angle of a triangle is 4 more than the first angle. The third angle is two times the first.Find the three angles.First angle:Second angle:Third angle:

Answer 1

We know that the sum of the angles of a triangle must be 180°. Let's call the first, second, and third angles A, B, and C respectively. Therefore, we have as follows:

$\begin{gathered} A=? \\ B=A+4 \\ C=2A \end{gathered}$

Therefore, we can now replace the equation that stated the sum and find the value of A as follows:

$\begin{gathered} A+A+4+2A=180 \\ 4A+4=180 \\ 4A=176 \\ A=44\degree \end{gathered}$

Now that we have the measure of angle A, we can find the other two, as follows:

$\begin{gathered} B=44+4 \\ B=48 \\ \\ C=2A \\ C=88 \end{gathered}$

Therefore, the first angle measures 44°, the second one 48°, and the third one 88°. We can verify if it is correct by making sure that the sum is 180.

$44\degree+48\degree+88\degree=180\degree$