Answer:
m∠UVT = 97°
Explanation:
Given m∠WVU = 169°, m∠WVT = (2x + 20)° and m∠UVT = (3x + 19)°, according to the diagram shown, it is seen that;
m∠WVU = m∠WVT +m∠UVT
Substitute the given parameters into the function as shown;
(2x + 20)°+(3x + 19)° = 169
collect like terms
2x+3x+20+19 = 169
5x+39 = 169
5x = 169-39
5x = 130
x = 130/5
x = 26°
Since m∠UVT = 3x+19, substitute x = 26 into the function
m∠UVT = 3(26)+ 19
m∠UVT = 78+19
m∠UVT = 97°