Question

given ( mangle qvr = 49^{circ} ) prove ( x = 15 ) complete the steps of the proof

Explanation:

Step1: Use the definition of congruence

Since $\angle UVT\cong\angle QVR$, by the definition of congruence, $m\angle UVT = m\angle QVR$.

Step2: Substitute the given values

We know that $m\angle QVR = 49$ (given) and $m\angle UVT=3x + 4$ (given). Substituting these into $m\angle UVT = m\angle QVR$ (from Step 1), we get $3x + 4 = 49$.

Answer:

$3x + 4 = 49$