Answer:
Solve for x first.
In order to solve for x, you must set up an equation where the two interior angles (1 and 2) are equal to the exterior angle (3).
Interior angles.
- Angle 1 = 3x + 7
- Angle 2 = 2x + 24
Exterior angle:
Set up the equation:-
(3x + 7) + (2x + 24) = 6x + 10
Group and combine like terms;
(3x + 2x) + (7 + 24) = 6x + 10
5x + 31 = 6x + 10
Get rid of constants;
-10 -10
5x + 21 = 6x
-5x -5x
21 = x, the value of 'x' is 21°.
Now we plug in the value of x into angle 3's equation.
∠3 = 6x + 10
∠3 = 6(21) + 10
∠3 = 126 + 10
∠3 = 136°, ∠3 = 136°.