Construct quadrilateral ABCD such that angle A is 60 degrees, angle B is 110 degrees, and angle C is 154 degrees.

| April 11, 2021 | education

Construct quadrilateral ABCD such that angle A is 60 degrees, angle B is 110 degrees, and angle C is 154 degrees. What is the degree measure of angle D? What is the sum of the angles of a quadrilateral? What percentage of the sum of the angles of a quadrilateral is angle D?

According to the condition of the problem, it is necessary to construct a quadrilateral ABCD, (see figure).

It is known that in this quadrilateral angle A is 60 °, angle B is 110 ° and angle C is 154 °.

It is required to calculate the degree measure of the angle D.

The angles of a quadrangle add up to 360 °.

Accordingly, in order to calculate the degree measure of the angle D, it is necessary to subtract the sum of three known angles from 360.

D = 360 – (60 + 110 + 154) = 36 °.

Angle D is 360/36 = 10% of the sum of the angles of the quadrilateral.



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