Math / Geometry

QuestionTriangles $J K L$ and $P Q R$ are congruent, where $J$ corresponds to $P$ , and $K$ corresponds to $Q$ . The measure of angle $J$ is $45^{\circ}$ , the measure of angle $K$ is $10^{\circ}$ , and the measure of angle $L$ is $125^{\circ}$ . What is the measure, in degrees, of angle $P$ ? (Disregard the degree symbol when entering your answer.) $\square$ Answer Preview:

Studdy Solution

STEP 1

1. Triangles $JKL$ and $PQR$ are congruent.
2. Corresponding angles in congruent triangles are equal.
3. Angle $J$ corresponds to angle $P$ .

STEP 2

1. Identify corresponding angles in congruent triangles.
2. Use the given information to find the measure of angle $P$ .

STEP 3

Identify corresponding angles in congruent triangles:
Since triangles $JKL$ and $PQR$ are congruent, angle $J$ corresponds to angle $P$ , angle $K$ corresponds to angle $Q$ , and angle $L$ corresponds to angle $R$ .

STEP 4

Use the given information to find the measure of angle $P$ :
Given that the measure of angle $J$ is $45^{\circ}$ , and angle $J$ corresponds to angle $P$ , the measure of angle $P$ is also $45^{\circ}$ .
The measure of angle $P$ is:
$\boxed{45}$

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