Question

24. . 10 In fig. 3, ABCD is a square. If Z DOC = 105°, find the value of angle 'x'. Fig. 3 25. E and F are respectively the mid-points of the non-parallel sides AD and BC​

Answer 1

Step-by-step explanation:

Correct option is B)

Since DX is a line segment, then

∠COD+∠COX=180 {Angle sum property}

⟹∠COX=180−105=75 −(1)

Since ABCD is a square and AC is a diagonal ,

therefore all the angles in a square is 90

∘

each and AC bisects the angle in half. {property}

⟹∠ACB(∠OCX)=

2

90

=45

∘

−(2)

In traingle COX

⟹∠OCX+∠COX+x=180, { sum of angles in a triangle is 180

∘

)

⟹x=180−(45+75) {using eq 1 and 2}

⟹x=60

∘

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