Question

DETAILS BASSELEMMATH7 9.PP1.035. 0/1 Submissions Used The measure of the smallest angle of a right triangle is 10° less than the measure of the other small angle. Find the measures of all three angles in degrees. smallest angle largest angle.

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Answer 1

40°, 50°, and 90°

Explanation:

Let the smallest angle be x.

Then, the other small angle is x+10.

The acute angles of a right triangle are complementary, so x+x+10=90, and thus x=40.

So, the acute angles measure 40° and 50°.

Therefore, the three angles are 40°, 50°, and 90°.