Answered

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The area of a parallelogram ABCD is 43 cm².|AB| = 7 cm, |BC| = 9 cm and ABC < 90°.Calculate ABC to the nearest degree

Sagot :

Given:

Here given values are area of parallelogram is 43

AB=7 cm

BC=9 cm and ABC<90

Required:

We need to find ABC

Explanation:

We know that the opposite sides of parallelogram are same so here AB=CD and BC=AD

AB=CD=7 cm and BC=AD=9 cm

Let me draw a figure

So here similarly opposite angles are also same

means A=C and B=D and angle on the same side means A , B and C , D are supplementary means addition is 180

here we have to find B so for B

we have formula for area

Area=AB*BC*sinB

[tex]43=7*9*\sin B[/tex][tex]\sin B=\frac{43}{63}[/tex]

Final Answer:

B=43.04 which is less then 90

View image JaharriJ19663
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