Mathematics

Rowan Ramsey

15 October, 14:14

Given: MzQVR = 49°

Prove x = 15

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