In a right triangle, if angle 1 is a right angle so $m\angle 1=90°$, what is the measure of angle 2 if the third angle is $45°$?

• A. $30°$
• B. $45°$
• C. $90°$
• D. $60°$

Answer: (B)

Verified step by step guidance

1. Recall that the sum of the interior angles in any triangle is always \$180^\circ$.
2. Since angle 1 is a right angle, we know \(m\angle 1 = 90^\circ\).
3. We are given that the third angle measures \$45^\circ$.
4. To find the measure of angle 2, use the equation: \(m\angle 2 = 180^\circ - m\angle 1 - m\angle 3\).
5. Substitute the known values into the equation: \(m\angle 2 = 180^\circ - 90^\circ - 45^\circ\) and simplify to find the measure of angle 2.