In DEF the measure of D is equal to 5 degrees more than the measure of E. The sum of the measures of D and E is 10 degrees more than the measure of F. Find the measure of each angle.

Measure of angle E = 45°

Measure of angle D = 45°+5° = 50°

Measure of angle F =  85°

Step-by-step explanation:

Let the measure of angle E be x.  ( in degrees)

Then Measure of angle D = x+5

Also, Angle D + Angle E = Angle F +10

Since DEF is a triangle, so the sum of their angles should equal to 180 degrees.

Measure of angle E = 45°

Measure of angle D = 45°+5° = 50°

Measure of angle F = (2(45)-5)° = (90-5)° = 85°

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step-by-step explanation: