Answer:
x = 2.7
Step-by-step explanation:
From the question given above, the following data were obtained:
QM = angle bisector of angle PQR
Angle PQN = 7x + 15
Angle NQM = 4x
x =?
Since QM is the angular bisector, it means that it bisect PQR into two equal angle i.e 45° each.
See attachment for diagram.
Thus, we can obtain the value of x as follow:
7x + 15 + 4x + 45= 90° (angle in a right angle triangle)
7x + 4x + 15 + 45= 90
11x + 60 = 90
Collect like terms
11x = 90 – 60
11x = 30
Divide both side by 11
x = 30/11
x = 2.7
Therefore, the value of x is 2.7
To find the area of a parallelogram, we need to multiply the base times the altitude.
We have that the base is equal to 8cm, and the altitude is equal to 2.2cm (the altitude is perpendicular to the base). Then, we have:
Therefore, the area of this parallelogram is equal to 17.6 sq. centimeters.
