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Svetradugi [14.3K]
2 years ago
5

2.(07.01 HC)

Mathematics
1 answer:
Travka [436]2 years ago
6 0

Answer:

Step-by-step explanation:

By applying Pythagoras theorem in the triangle given in the picture,

(Hypotenuse)² = (leg 1)² + (leg 2)²

PO² = (15)² + 8²

PO² = 225 + 64

PO = √289

PO = 17

By applying sine rule in the given triangle,

sin(x°) = \frac{\text{Opposite side}}{\text{Hypotenuse}}

          = \frac{15}{17}

cos(y°) = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

           = \frac{8}{17}

Relation between the ratio of sin(x) and cos(x) will be,

\frac{\text{sin(x)}}{\text{cos(x)}}=\frac{\frac{15}{17} }{\frac{8}{17} }

        =\frac{15}{8}

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1) AD=BC(corresponding parts of congruent triangles)

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1)

Given : AD||BC

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\angle AED = \angel BEC ( Vertically opposite angles)

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Refer the attached figure

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In ΔDBC

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So,\angle CDB=\angle DBC=x

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2x+50=180

2x=130

x=65

So,\angle CDB=\angle DBC=x = 65^{\circ}

Now,

\angle ABC = 90^{\circ}\\\angle ABC=\angle ABD+\angle DBC=\angle ABD+x=90

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So,\angle BAD=\angle BDA=y

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2y=180-25

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y=77.5

So, The value of x and y are 65 ° and 77.5° respectively

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