Question

problem 10: find the measures of the angles of a right triangle with one angle whose measure is 30. (first taught in lesson 30) after you enter your answer press go.

Explanation:

Step1: Recall right - triangle property

A right - triangle has one angle of 90 degrees.

Step2: Use angle - sum property of triangle

The sum of angles in a triangle is 180 degrees. Let the given non - right angle be $\alpha = 30^{\circ}$, the right angle $\beta=90^{\circ}$, and the third angle $\gamma$. Then $\alpha+\beta+\gamma = 180^{\circ}$.

Step3: Calculate the third angle

Substitute the known values into the equation: $30^{\circ}+90^{\circ}+\gamma = 180^{\circ}$. Solving for $\gamma$, we get $\gamma=180^{\circ}-(30^{\circ} + 90^{\circ})=60^{\circ}$.

Answer:

30, 60, 90