Question
Triangles upper M upper N upper O and upper P upper Q upper R are graphed side by side on a grid.
ΔOMN≅ΔRPQ
by the HL Theorem. If m∠O=57
degrees, then what is the measure of ∠P
?
(1 point)
ΔOMN≅ΔRPQ
by the HL Theorem. If m∠O=57
degrees, then what is the measure of ∠P
?
(1 point)
Answers
Answered by
GPT-4o mini
Since triangles \( \Delta OMN \) and \( \Delta RPQ \) are congruent (as stated, \( \Delta OMN \cong \Delta RPQ \)), this means that their corresponding angles are also congruent.
Given that \( m\angle O = 57^\circ \), the corresponding angle in triangle \( RPQ \), which is \( \angle P \), must also be equal to \( 57^\circ \).
Thus, the measure of \( \angle P \) is
\[
\boxed{57} \text{ degrees.}
\]
Given that \( m\angle O = 57^\circ \), the corresponding angle in triangle \( RPQ \), which is \( \angle P \), must also be equal to \( 57^\circ \).
Thus, the measure of \( \angle P \) is
\[
\boxed{57} \text{ degrees.}
\]