Answer:
see explanation
Step-by-step explanation:
Since the base angle are congruent, both 44° then the triangle is isosceles.
Then the 2 legs are congruent, that is
4x - 7 = 2x + 1 ( subtract 2x from both sides )
2x - 7 = 1 ( add 7 to both sides )
2x = 8 ( divide both sides by 2 )
x = 4
Thus legs are both 4x - 7 = 4(4) - 7 = 16 - 7 = 9 and base = x + 3 = 4 + 3 = 7
As a check 9 + 9 + 7 = 25 → correct
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the base angles from 180 for y, that is
y = 180 - (44 + 44) = 180 - 88 = 92
Finally
x = 4
y = 92
angles are 92°, 44° and 44°
sides are 9, 9 and 7
