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)
I just took the test the answer is A
Note that MLK ~ RQP, not PQR.
That may make a difference.
After you get 75, divide 75 by two and you have your answer D
To find the measure of angle P, we need to use the fact that the triangles MLK and RQP are congruent. Congruent triangles have corresponding angles that are equal in measure.
From Triangle 1, we know that MLK has angles measuring 43 degrees and 32 degrees. These angles correspond to angles in Triangle 2. Let's label the angles in Triangle 2 as follows: QPR (corresponding to MKL) and RPQ (corresponding to KLM).
We are given that MLK is congruent to RQP, which means that the corresponding angles are equal. So, we have:
QPR = 43 degrees
RPQ = 32 degrees
Now, to find the measure of angle P (RQP), we can subtract the sum of the known angles from 180 degrees, as the sum of angles in a triangle is always 180 degrees.
Sum of known angles: 43 degrees + 32 degrees = 75 degrees
180 degrees - 75 degrees = 105 degrees
Therefore, the measure of angle P (RQP) is 105 degrees. So, the correct answer is option C: 105 degrees.
the letters correspond to the vertices
K and P are congruent
as are M and R
and L and Q
MK and ML are sides
...not measured in degrees
just post the size of any of the angles that are given