А
In the adjoining figure, the measure of ABC is –
70
(a) 30°
(b) 75
(c) 52
(d) 40°

​

1 thought on “А<br />In the adjoining figure, the measure of ABC is –<br />70<br />(a) 30°<br />(b) 75<br />(c) 52<br />(d) 40°<br /><br />​”

1. Step-by-step explanation:

   x

   ∘

   +x

   ∘

   +50

   ∘

   =180

   ∘

   (Straight angle made on AB at point B)

   2x+50

   ∘

   =180

   ∘

   2x=180

   ∘

   −50

   ∘

   =130

   ∘

   x=

   2

   130

   ∘

   =65

   ∘

   y

   ∘

   +y

   ∘

   +70

   ∘

   =180

   ∘

   (Straight angle made on AC at point C)

   2y+70

   ∘

   =180

   ∘

   2y=180

   ∘

   −70

   ∘

   =110

   ∘

   y=

   2

   110

   ∘

   =55

   ∘

   In △BOC

   x+y+z=180

   ∘

   (Angle sum property)

   65

   ∘

   +55

   ∘

   +z=180

   ∘

   z=180

   ∘

   −120

   ∘

   =60

   ∘

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