Answer:
130°, 50°
Explanation:
Linear pair:
If the sum two angles is 180° and the non-common arms of the two angles form a straight line then the two angles are called liner pair.
3x + 10 + 2x - 30 = 180°
3x + 2x + 10 -30 = 180°
Combine like terms,
5x - 20 = 180°
Add 20 to both sides,
5x = 180 + 20
5x = 200°
Divide both sides by 5,
x = 200 ÷ 5
x = 40°
3x + 10 = 3*40 + 10
= 120 + 10
= 130°
2x - 30 = 2*40 - 30
= 80 - 30
= 50°
Answer: The angles are 130° and 50°