Answer:
Explanation:
Given a triangle with angles marked (2x-5)°, x°, and 62°, you want the measures of the unknown angles A and B.
Angle sum
The sum of angles in a triangle is 180°. That means ...
(2x -5)° +x° +62° = 180°
3x° = 123° . . . . . . . . . . . subtract 57°, collect terms
x = 41 . . . . . . . . divide by 3°
Missing angles
Angle A is ...
(2x -5)° = (2·41 -5)° = 77°
Angle B is ...
x° = 41°
Angle A is 77°, angle B is 41°.