Answer:
angle A = 116
x = 17
Explanation:
For first question:
The sum of interior angles in a triangle is equal to 180 so,
14x + 4 + 2x + 9 + 5x -1 = 180 add like terms
21x + 12 = 180 subtract 12 from both sides
21x = 168 divide both sides by 21
x = 8 to find angle A replace x with 8
<A = 14*8 + 4
<A = 116
For second question:
Given is an isosceles triangle so angle P and Q are equal = 29
since the sum of interior angles in a triangle is equal to 180,
29 + 29 + 8x - 14 = 180 add like terms
44 + 8x = 180 subtract 44 from both sides
8x = 136 divide both sides by 8
x = 17