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problem 9: find the measures of the angles of a right triangle with one…

Question

problem 9: find the measures of the angles of a right triangle with one angle whose measure is 10. (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 $90^{\circ}$.

Step2: Use angle - sum property of triangle

The sum of angles in a triangle is $180^{\circ}$. Let the three angles be $A$, $B$, and $C$. We know $A = 90^{\circ}$ and one of the other angles, say $B=10^{\circ}$. Then $C=180^{\circ}-A - B$.

Step3: Calculate the third angle

$C = 180^{\circ}-90^{\circ}-10^{\circ}=80^{\circ}$

Answer:

$10^{\circ}$, $80^{\circ}$, $90^{\circ}$