QuestionIf $\triangle \mathrm{JKL} \cong \triangle PQR$ and $m<P=52$ , $m<Q=48$ , $m<R=80$ , find $m<K$ . A. Cannot be determined B. 80 C. 52 D. 48

Studdy Solution

STEP 1

Assumptions1. Triangle JKL is congruent to TriangleQR. . The measure of angle is52 degrees.
3. The measure of angle Q is48 degrees.
4. The measure of angle R is80 degrees.
5. In congruent triangles, corresponding angles are equal.

STEP 2

We know that in congruent triangles, corresponding angles are equal. Therefore, the measure of angle K in triangle JKL should be equal to the measure of the corresponding angle in triangleQR.

STEP 3

The corresponding angle for angle K in triangleQR is angle Q, because they both occupy the same relative position in their respective triangles.

STEP 4

Now, we know that the measure of angle Q is given as48 degrees. Therefore, the measure of angle K should also be48 degrees.
$m<K = m<Q =48\, degrees$ Therefore, the measure of angle K is48 degrees.

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