Determine the value of angle D in parallelogram ABCD​

Step-by-step explanation:

In a parallelogram, opposite angles are congruent, so they have the same measure by the definition of congruence. Therefore, , so . We are given the measures of these two angles, so we can write the following equation to solve for :

Solving for , we get:

(Subtract from both sides of the equation)

(Subtract from both sides of the equation to isolate )

(Divide both sides of the equation to get rid of 's coefficient)

Therefore, .

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b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.

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step-by-step explanation: