Question

Look at the figure rectangle PQRS, find m angel P

Answer 1

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

Answer 2

Answer:
`144^(\circ)`

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)`