Answer:
∠1 = 96°
Explanation:
You want the measure of angle 1, given angles 1 and 2 are vertical angles with ∠1 = (4x -4)° and ∠2 = (5x -29)°.
Vertical angles
Vertical angles are congruent, so have the same measure.
∠1 = ∠2
(4x -4)° = (5x -29)°
25 = x . . . . . . . . . . . . . divide by °, add 29-4x
Using this value of x, we find the measure of angle 1 to be ...
∠1 = (4x -4)° = (4(25) -4)° = (100 -4)° = 96°
The measure of angle 1 is 96°.
<95141404393>