Question

Triangle UVW is shown with m∠WUV = 36°. The measure of ∠UVW is (5h − 64)°, and the measure of ∠AWB is (5h − 16)°. Determine the value of h.

Answer 1

Answer:

  h = 22.4

Step-by-step explanation:

You want the value of h in ∆UVW, given U = 36°, V = (5h -64)°, W = (5h -16)°.

Angle sum

The sum of angles in a triangle is 180°, so we have ...

  U +V +W = 180°

  36 +(5h -64) +(5h -16) = 180

  10h -44 = 180 . . . . . . . . . . . . . simplify

  10h = 224 . . . . . . . . . . add 44

  h = 22.4 . . . . . . . . divide by 10

The value of h is 22.4.

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Additional comment

The angles are V = 48°, W = 96°.