Question

a)270°
b)230°
c)210°
d)190°
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Answer 1

Answer:

(b) 230

Step-by-step explanation:

Angle CAO + Angle ACO + Angle COA = 180 (Angle sum property)

80 + 40 + Angle CAO = 180

Angle CAO = 180 - 120

Angle CAO = 60

Angle CAO + x = 180 (Linear pair)

60 + x = 180

x = 180 - 60

x = 120

Angle COA = Angle BOD (Vertically opposite angle)

Hence, Angle BOD = 40

Similarly, using the Angle sum property for the next triangle

Angle BOD + Angle ODB + Angle DBO = 180

40 + 70 + Angle DBO = 180

Angle DBO = 180 - 110

Angle DBO = 70

Angle DBO + y = 180 (Linear pair)

70 + y = 180

y = 180 - 70

y = 110

Therefore,

x = 120

y = 110

x + y

= 120 + 110

= 230

Best of luck! Hope it helps you. Mark me brainliest.

Answer 2

Answer:

x is equal to exterior angle

exterior angle= sum of opposite 2 angles.

x=80°+40°

x=120°

vertical opposite of 40°=40°

y is equal to exterior angle

exterior angle = sum of opposite 2 angles

y=70°+40°

y=110°