Question

15. _TYU and ZUYB form a linear pair. The mZTYU = 5x - 4 and mZUYB =

3x + 10. Find the degree measure of each angle. HINT: draw a picture.
Upload your work in canvas assignment.

Answer 1

104.75 +75.25 = 180

Explanation:

Answer 2

• ∠TYU = 104.75°
• ∠UYB = 75.25°

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.