Question

Madison drew Triangle D E F. In her triangle, Measure of angle D is represented as x degrees. The measure of Angle E is half the measure of Angle D. The measure of Angle F is 2 degrees less than twice Measure of angle D. What is Measure of angle F?

A) 36 degrees
B)56 degrees
C)102 degrees
D)147 degrees

Answer 1

102º

Explanation:

Answer 2

102 degrees.

Explanation:

We know that D is x and E is 1/2x and Angle F is 2 less than angle D.

So if we use the sum of 180 and solve for x, we will find angle D.

This is the equation: x+.5x+2x-2=180

solve: 3.5x -2 = 180

+2 +2

3.5x=182

/3.5x /3.5x

X = 52

2(52)-2 = 102 degrees

Thus the answer is 102 degrees

hope this helped:)