Answer :

The measure of the angle D and F can be calculated form the total measure of the Angle of the triangle that is 180.

In the triangle DEF, F is 120 degree and F is 4/3rd of E. A straight angle is just a straight line which is where it gets its name. the sum of a triangles angles 180. It is proved by angular defect and triangles area. The angle sum of a triangle will always be equal to 180°. The angle sum of a quadrilateral is equal to 360°, and a triangle can be created by slicing a quadrilateral in half from corner to corner. Since a triangle is essentially half of a quadrilateral, its angle measures should be half as well.

Angle F = 120 degree

F= 4/3 E

E= 90 degree

The sum of the angle is 180. so,

D + E + F = 180

Putting all the values we can find the measure of angle D and Angle E.

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