If the measure of one angle of a right triangle is 23°, then what is the measure of the other acute angle?

Question

Thank you so much for your help!!

Answer 1

Triangle Angle Sum Theorem states that the sum of all 3 angles of a triangle MUST equal 180°.

 

One angle is 23°.  The right angle is 90°.  The 3rd angle is unknown (let's call it x).

 

Write the equation

23+90+x=180

 

Solve the equation for x, and that will be your answer.

 

While I like Triangle Angle Sum Theorem (because it works for ALL triangles), there is a corollary ("it follows") that states the acute angles of a right triangle must be complementary.  

 

So, you could use the equation:

23+x=90