Question

Look at the figure rectangle PQRS, find m angel P

Answer 1

Answer: $144^{\circ}$

Step-by-step explanation:

In the given figure , we have given a parallelogram .

We know that the opposite sides and angles of a parallelogram are equal.

Thus from the given parallelogram PORS  we have

$\angle {Q}=\angle {S}\\\\\Rightarrow\ (4\alpha-12)^{\circ}=3\alpha^{\circ}\\\\\Rightarrow\ 4\alpha-12=3\alpha\\\\\Rightarrow 4\alpha-3\alpha=12\\\\\Rightarrow\ \alpha=12$

Also, the value of angle p is given by :-

$\angle {P}=12\alpha^{\circ}\\\\\Riightarrow\ \angle {P}=12(12)^{\circ}\\\\\Riightarrow\ \angle {P}=144^{\circ}$

Answer 2

144 degrees, q=s, so 3a=4a-12. a=12, and 12*12= 144