Answer:
- ∠TYU = 104.75°
- ∠UYB = 75.25°
Step-by-step explanation:
A picture on scratch paper works as well as any.
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The sum of the two angles is 180°:
(5x -4) +(3x +10) = 180
8x = 174 . . . . . . collect terms, subtract 6
x = 21.75 . . . . . .divide by 8
Then the angle measures are ...
∠TYU = 5(21.75) -4 = 104.75°
∠UYB = 3(21.75) +10 = 75.25°
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Check
The total is 104.75 +75.25 = 180, as required.
