Given: △dmn, dm=10√3 m∠m=75°, m∠n=45° find: perimeter of △dmn

Correct Answer is: Perimeter of ΔDMN is 54.873 units.

Solution:-

Given that DM=10√3,m∠M=75°,m∠N=45°

So,m∠D= 180-(75+45) = 60°

So to find perimeter we need other 2 sides also.

Let us use sine rule to find them.

Hence perimeter = DM+MN+DN

                             = 10+21.213+23.66

                             =54.873 units

answer:

c 60% on edg

answer: option a.

step-by-step explanation:

you know that the quadrilateral opqr ( a four sided figure) is inscribed in circle. this means that all its vertices are on the circle.

then, by definition, the opposite angles of the quadrilateral are supplementary, this means that the sum of their measures is 180 degrees.

you can observe in the figure that the angles ∠opq   and the angle ∠orq   are opposite, therefore:

then, can be used to d to calculate the measure of ∠opq