Answer:
X = 38° and w = 65°.
Step-by-step explanation:
Hey there!
Looking through figure, we get;
(3x + 1)° = (2x + 9)° + 30° { Exterior angle of triangle is equal to the sum of opposite adjacent interior angles}
(3x + 1)° = 2x + 9° +30°
or, 3x - 2x = 39° - 1°
x = 38°
X = 38°
Therefore, x = 38°
For w:
(3x + 1)° + w = 180° (being linear pair)
(3*38+1 )°+ w = 180°
115°+ w = 180°
w = 180° -115°
Therefore, w = 65°
Hope it helps...
