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Whats the value of x? if angle TRS equals x+40 and angle VRW equals 3x

Whats the value of x? if angle TRS equals x+40 and angle VRW equals 3x-example-1
User Jamesbtate
by
7.8k points

2 Answers

4 votes

Answer:

x = 20

Explanation:

Two angles are alternate angles and they are congruent so their measures are equal.

We can write the following equation to find the value of x based on the above mentioned information:

3x = x + 40

  • Transfer x to the left side of the equation.

3x - x = 40

  • Subtract.

2x = 40

  • Divide both sides by 2.

x = 20

User Manish Srivastava
by
9.1k points
5 votes

Answer:

x=20

Explanation:

The two angles are equal since they are vertical angles.

x+40 = 3x

Subtract x from each side.

x+40-x = 3x-x

40 = 2x

Divide by 2.

40/2 = 2x/2

20 =x

User Tiago Moutinho
by
7.5k points