Question

enter the answer in the space provided. use numbers instead of words. ∠p =

Explanation:

Step1: Recall angle - sum property of a triangle

The sum of interior angles of a triangle is 180°.

Step2: Calculate the unknown angle in the first triangle

In the first triangle with angles 24° and 47°, let the third - angle be \(x\). Then \(x = 180-(24 + 47)=180 - 71=109^{\circ}\).

Step3: Assume the two triangles are similar

If the two triangles are similar, corresponding angles are equal. Since we don't have enough information to prove similarity, assume they are congruent or in a relationship where we can use angle - sum property for the second triangle. In the second triangle with one angle 54°, and assuming the triangles are related in a way that we can find \(\angle P\) using the angle - sum property of a triangle. Let \(\angle P=y\). Then \(y=180-(54 + 109)=180 - 163 = 17^{\circ}\).

Answer:

17