Respuesta :

Answer: m∠D = 65°

Step-by-step explanation:

The best solve method for problems like this is say the sum of the angle values equals 360.

2x-15+2x-15+x+x = 360

Then from here you just simplify.

4x+2x-30 = 360

6x = 390

x = 65

So the measure of Angle D equals 65 degrees.

We know, sum of all angles of a quadrilateral is 360°.

Therefore, angle A + angle B + angle C + angle D = 360°

or, (2x-15)+x+(2x-15)+x = 360

or, 6x-30 = 360

or, 6x = 360+30

or, 6x = 390

or, x = 390/6 = 65

Therefore, measure of angle D = x° = 65°

The answer is option d. 65°

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