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Given: m∠QVR = 49° Prove: x = 15 3 lines are shown. A horizontal line with points Q, V, T intersects with a line with points R, V, U at point V. A line extends vertically from point V to point S. Angle T V U is (3 x + 4) degrees. Complete the steps of the proof. ♣: ♦:

Answer :

Answer:

♣:  vertical angles theorem

♦: 3x+4=49

MrRoyal

The value of x is x = 15, and the angles m∠QVR and m∠TVU are corresponding angles

What are corresponding angles?

Corresponding angles are angles at the same relative position at each intersection

From the complete question, angle QVR and angle TVU are corresponding angles.

So, we have:

angle QVR = angle TVU

This gives

3x + 4 = 49

Subtract 4 from both sides of the equation

3x = 45

Divide both sides by 3

x = 15

Hence, the value of x is x = 15

Read more about corresponding angles at:

https://brainly.com/question/2009183

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