Question

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Answer 1

Answer:

70°

Step-by-step explanation:

s=60

t=80

u+v=360-(60+80)=360-140=220

ovu+ouv=1/2(u+v)=1/2×220=110

uov=(180-110)=70

Answer 2

Step-by-step explanation:

Angle S + angle T + angle U + angle V= 360°

60 + 80 + angle U + Angle V = 360°

angle U + angle V = 360- 140

angle U + angle V = 220 ...(1)

Angle U = 2 ( angle OVU ) = 2 angle X

Angle V = 2 ( angle OUV) = 2 ANGLE Y

2 ANGLE X + 2 ANGLE Y = 220

2 ( X+Y) = 220

X+Y= 220/2

X+Y= 11O ...(2)

IN ∆ OVU

X+ Y + ANGLE VOU = 180

110 + ANGLE VOU = 180

ANGLE VOU = 180- 110

ANGLE VOU = 70°

HOPE IT HELPS YOU