Given △PQR∼△LMN, m∠Q=113°, and m∠R=26°, what is the measure of angle N?(1 point)
m∠N =
°
71
Which one is right???
To find the measure of angle N, we can use the fact that corresponding angles in similar triangles are equal.
We are given that △PQR∼△LMN, which means that the corresponding angles are equal. Since we know that m∠Q=113° and m∠R=26°, we can find the measure of angle N.
Since m∠Q=113° in △PQR, the corresponding angle in △LMN is also 113°.
Since m∠R=26° in △PQR, the corresponding angle in △LMN is also 26°.
Therefore, the measure of angle N is 113°.
To find the measure of angle N, we need to use the fact that triangles PQR and LMN are similar.
Similar triangles have corresponding angles that are congruent.
Given that ∠Q = 113° and ∠R = 26°, we can find the measure of angle N as follows:
1. Identify the corresponding angles in triangles PQR and LMN. In this case, ∠Q corresponds to ∠L, and ∠R corresponds to ∠N.
2. Use the fact that corresponding angles are congruent to set up the equation:
m∠Q = m∠L
113° = m∠L
m∠R = m∠N
26° = m∠N
3. Since ∠Q corresponds to ∠L, and m∠Q = 113°, we have m∠L = 113°.
4. Therefore, the measure of angle N is m∠N = 26°.
So, the measure of angle N is 26°.