Question

Find m∠TUL.

m∠TUV = 167°

m∠TUL = (x + 11)°

m∠LUV = (11x)°

A) 18°

B) 20°

C) 22°

D) 24°

Answer 1

Explanation:

Actual graph for this problem is attached below

m∠TUV = 167°

m∠TUL = (x + 11)°

m∠LUV = (11x)°

m∠TUV= m∠TUL+ m∠LUV

now plug in the angles for each

m∠TUV= m∠TUL+ m∠LUV

`167= x+11 +11x`

solve the equation for x

`167= x+11 +11x\\167=11 +12x`

Subtract 11 from both sides

`156=12x`

divide both sides by 12

x=13

m∠TUL = (x + 11)°

m∠TUL = (13+ 11)° = (24)°

answer:

24°