Question

What is the measure of the angles? 145° 35° 13° 180°

Answer 1

The measure of the angle is 35

Explanation:

The angles are vertical angles which means they are equal

3x-4 = 2x+9

Subtract 2x from each side

3x-4 -2x =2x+9-2x

x-4 = 9

Add 4 to each side

x-4+4 =9+4

x=13

But we want to know the angle

2x+9

2(13)+9

26+9

35

The measure of the angle is 35

Answer 2

35° is your answer.

Explanation:

These are vertical angles. Set the two measurements equal to each other and solve for x.

3x - 4 = 2x + 9

Isolate the variable (x). Note the equal sign, what you do to one side you do to the other. Add 4 and subtract 2x from both sides.

3x (-2x) - 4 (+4) = 2x (-2x) + 9 (+4)

3x - 2x = 9 + 4

x = 13

Plug in 13 for x in one of the measurements given.

2x + 9

2(13) + 9

26 + 9

35

35° is your answer.

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