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marshall27 [118]
3 years ago
7

Help,anyone can help me do quetion.​

Mathematics
1 answer:
Digiron [165]3 years ago
7 0

Answer:

Step-by-step explanation:

PQRS is a parallelogram with QR = 6 cm, QT = 3 cm and ∠PSR = 115°.

a). By the property of a parallelogram,

   "Diagonals of a parallelogram bisect each other"

   QT = TS

   QS = 2(QT)

         = 2(3)

         = 6 cm

b). "Adjacent angles of a parallelogram are supplementary"

     m∠PSR + m∠SRQ = 180°

     115° + m∠SRQ = 180°

     m∠SRQ = 65°

c). Since, SQ = SR = 6 cm

    m∠QSR = m∠SRQ [Opposite angles of the equal sides of an isosceles triangle]

    m∠QSR = 65°

    By applying triangle sum theorem in ΔQSR,

    m∠SQR + m∠QRS + m∠QSR = 180°

    m∠SQR + 65° + 65° = 180°

    m∠SQR = 50°

You might be interested in
The sides OP and RO of triangle POR are produced to points S and T respectively. If ∠SPR = 145° and ∠POT = 115° , find ∠PRO
Margarita [4]

Answer:

\angle PRQ = 80

Step-by-step explanation:

Given

\angle SPR = 145^o

\angle POT = 115^o

See attachment

Required

Find \angle PRO

First, calculate \angle RPO

\angle RPO + \angle SPR = 180 --- angle on a straight line

So, we have:

\angle RPO + 145 = 180

Collect like terms

\angle RPO = 180 - 145

\angle RPO = 35

Next, calculate PQR

\angle POR + \angle POT = 180

So, we have:

\angle POR + 115 = 180

Collect like terms

\angle POR = 180-115

\angle POR = 65

So, PRO is calculated as:

\angle PRO + \angle POR + \angle RPO = 180 --- angles in a triangle

So, we have:

\angle PRO + 65 + 35= 180

\angle PRO + 100= 180

Collect like terms

\angle PRO = 180-100

\angle PRO = 80

3 0
3 years ago
PLEASE HELP ASAP. I need help with this problem, I've gotten two answers: 60 and 90 but I can't figure out which one it is. Plea
omeli [17]

Find the ratio of the known sides.

6/4 = 1.5

The larger triangle is 1.5 times larger than the smaller one.

Area is in square units, so to find the area of the larger triangle square the ratio and multiply that by the area of the known triangle.

1.5^2 x 40 = 90 square cm.

5 0
3 years ago
Pls help ASAP find the slope !!
Sedaia [141]

Answer:

4,-4 I think

Step-by-step explanation:

My brain is off right now so might be wrong

3 0
3 years ago
62.8 in scientific notation
bearhunter [10]

Answer:

6.28 x 10²

Step-by-step explanation:

first number must be greater than or equal to 1 and less than 10

if you move the decimal to the left you need to increase the power of ten by one for each move

if you move the decimal to the rightt you need to decrease the power of ten by one for each move

8 0
2 years ago
1/2(6y-8)+4y=10-2y+4
r-ruslan [8.4K]

Answer:

y=2

Step-by-step explanation:

hope this helps

3 0
3 years ago
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