Solving a quadratic equation we will find that Angle 1 measures 29°.
How to find the angle?
We know that opposite angles have the same measure, then we will have that:
(3y^2 + 2y - 10)° = (2y^2 + 7y + 4)°
Solving that we get:
y^2 - 5y - 14 = 0
y = (5 ±√(5^2 - 4*(-14))/2
y = (5 ± 9)/2
Then the positive solution is:
y = (5 + 9)/2 = 7
Then the measure of the left angle is:
2*7^2 + 7*7 +4 = 151°
Angle 1 is supplementary of that angle, then it measures 29°.
If you want to learn more about angles:
https://brainly.com/question/24839702
#SPJ1
