Question

Given: m∠QVR = 49° Prove: x = 15

Answer 1

we can prove with the straight line therom

Explanation:

<QVR+<QVU=180(straight line)

<TVU+<QVU=180(straight line)

<QVR+<QVU=<TVU+<QVU

<QVR=<TVU+<QVU-<QVU

<QVR=<TVU

49=3X+4

3X=49-4

3X=45

X=45/3

X=15

Answer 2

x = 15

Explanation:

Points to remember

Vertically opposite angles are equal.

From the figure we can see a number of line segments

To prove that x = 15

m<QVR = 49°

From the given figure we get,

<QVR and <UVT are vertically opposite angles.

m<QVR = m<UVT

49 = 3x + 4

3x = 49 - 4

3x = 45

x = 45/3 = 15