Answer:
Step-by-step explanation:
Adjacent angles of parallelogram are supplementary.
∠A + ∠D = 180
Divide both sides by 2
∠A + ∠D = 90
∠PAD + ∠ADP = 90 --------------------(I)
IN ΔPAD,
∠PAD + ∠ADP + ∠APD = 180 {angle sum property of triangle}
90 + ∠APD = 180 {from (I)}
∠APD = 180 - 90
∠APD = 90
∠SPQ = ∠APD {vertically opposite angles}
∠SPQ = 90°
Similarly, we can prove ∠PQR = 90° ; ∠QRS = 90° and ∠RSP = 90°
In a quadrilateral if each angle is 90°, then it is a rectangle.
PQRS is a rectangle.
Step-by-step explanation:
5(w-2)=-2(1.5w+5)
5w-10=-3w-10
8w=0
w=O
Step-by-step explanation:
x+9< -15
x< -15-9
x< -24
hope it helps.
Prime factorization: 84 = 2 x 2 x 3 x 7 which can also be written 2² x 3 x 7.