Please help quick, i dont understand this and its tue in 30 minutes

1st question: x = 17
2nd question: ∠A = 66°

Step-by-step explanation:

1st question-
all angles of a triangle adds up to 180. so,

(6x + 10) + (x + 17) + (4x - 34) = 180
6x + x + 4x + 10 + 17 - 34 = 180

11x -7 = 180
11x = 187

x = 187/11

x = 17

2nd question-

in an isosceles triangle, 2 of its angle are the same

here, ∠C & ∠B are equal

so,

180 - (57+57)

= 66°

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,