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A right triangle has one angle that measures 45∘45^\circ. What is the measure of the other acute angle?\newline_____∘ ^\circ

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Full solution

Q. A right triangle has one angle that measures 45∘45^\circ. What is the measure of the other acute angle?\newline_____∘ ^\circ
  1. Identify Right Triangle: Since it's a right triangle, we know one angle is 90∘90^\circ. The sum of all angles in a triangle is 180∘180^\circ. So, the sum of the other two angles must be 180∘−90∘180^\circ - 90^\circ.
  2. Calculate Sum of Angles: Subtract to find the sum of the other two angles: 180∘−90∘=90∘180^\circ - 90^\circ = 90^\circ. Since one of these angles is given as 45∘45^\circ, the other angle must also be 45∘45^\circ to make the sum 90∘90^\circ.

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