Question

the measure of one angle of a right triangle is 34 degrees more than the measure of the smallest angle. Find the measure of all three angles.

Answer 1

A right triangle is a triangle which has one of it's angles equal to 90 degrees. The sum of all the internal angles for a triangle have to be equal to 180 degrees. The smalles ange will be called "x", therefore the sum of the internal angles of this triangle are:

`\begin{gathered} x+(x+34)+90=180 \\ 2x+34+90=180 \\ 2x+124=180 \\ 2x=180-124 \\ 2x=56 \\ x=28 \end{gathered}`

The smallest is 28 degrees. The second one is:

`\text{ang}2=x+34=28+34=62`

The second is equal to 62 degrees and the third is equal to 90 degrees.