Question

. In quadrilateral angle STUV, the bisectors of angle U and
angle V meet at a point O. If angle T = 80° and angle S =
60°, find angle UOV.
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Answer 1

Answer:

s + t + u+ v =360

60 +80 + u+ v =360 ( sum of interior angle of quadrilateral be 360)

u +v = 360 _140

u + v =220

u/2 +v/2 = 220 /2 ( u and v is bisector)

angle ouv + angle ovu = 110

in triangle uov

ouv + ovu +uov = 180 ( sum of interior angle of triangle )

uov = 180 -110

uov = 70