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°.
