Statements
Reasons
1. MZQVR = 49
1. given
2. MZUVT = 3x + 4
2. given
S
R
3. LQVR and ZUVT are
vertical angles
3. definition of vertical
angles
T
4. LUVT , ZQVR
4.
V
(3x + 4)º
5. m_UVT = m2QVR
5. definition of congruence
U
6. +
6. substitution property
Complete the steps of the proof
7. 3x = 45
7. subtraction property
8. x = 15
8. division property
<
3x + 4 = 15
3x + 4 = 49
X measure of angle QVR = 49 degrees
✓ Done
measure of angle UVT = (3x + 4) degrees
7 of a
The proof of the question is explained in the solution.
Vertical angles are the angles that are formed when two lines intersect each other at a point.
Given that a figure having m∠QVR = 49°, we need to prove that x = 15,
We know that,
Vertically opposite angles are equal.
From the figure we can see a number of line segments
m∠QVR = 49°
From the given figure we get,
∠QVR and ∠UVT are vertically opposite angles.
Therefore,
m∠QVR = m∠UVT
49 = 3x + 4
3x = 49 - 4
3x = 45
x = 45/3 = 15
Hence, proved.
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Answer:
4. vertical angles theorem
6. 3x+4=49
Step-by-step explanation:
lie????
A: 71 and 73
B: 8 and 9
C: 9 and 10
D: 10 and 11