Answer:
x = 16 , x = 8 , x = 72.5
Explanation:
(4)
The triangle has 2 congruent sides and is therefore isosceles with 2 base angles being congruent, both 32°
The sum of the 3 angles in the triangle = 180°
Sum the 3 angles and equate to 180
x + 32 + 32 = 180
x + 64 = 180 ( subtract 64 from both sides )
x = 16
(4)
The triangle has 3 congruent sides and is therefore equilateral.
Equate any 2 sides and solve for x
12x - 22 = 10x - 6 ( subtract 10x from both sides )
2x - 22 = - 6 ( add 22 to both sides )
2x = 16 ( divide both sides by 2 )
x = 8
(5)
The triangle has 2 congruent sides and is isosceles with 2 base angles congruent, both x , then
x + x + 35 = 180
2x + 35 = 180 ( subtract 35 from both sides )
2x = 145 ( divide both sides by 2 )
x = 72.5