Please somebody help me with this question, I don’t really get it:
The triangles are shown congruent. Find the measure of angle P.
MLK is congruent to RQP.
A. 43 degrees
B. 32 degrees
C. 105 degrees
D. 37.5 degrees
Triangle 1 measures: MK: 43 degrees. ML: 32 degrees
I added them together and it was 75
Triangle 2 measures: PQR: 105
I added 105 + 75 and it was 180.
(There is a picture of the triangles but it doesn’t let me post the link)
To find the measure of angle P, we need to use the fact that triangles MLK and RQP are congruent.
Congruent triangles have the same shape and size, which means their corresponding angles are equal.
Given that angle MKL measures 43 degrees and angle M is congruent to angle R, we can conclude that angle R measures 43 degrees as well.
Similarly, angle MLK measures 32 degrees, and angle P is congruent to angle Q. Therefore, angle P measures 32 degrees.
So, the answer is B. 32 degrees.
To solve this type of problem, you can use the concept of congruent triangles. In this case, the given information allowed us to determine the congruence between the two triangles, which then allowed us to deduce the measure of angle P.
MK is not an angle
Clearly PQR corresponds to the 3rd angle in MLK, since it is 105.
So, draw the triangles with corresponding angles in the same place, and match up the values.