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In the diagram above, the value of angles b + c is


Question

In the diagram above, the value of angles b + c is

Options

A) 180o

B) 90o

C) 45o

D) ao

E) do

The correct answer is A.

Explanation:

a + c + d - 180o[sum of angles in triangle]
x = a[vertical opp. ∠s]
y + x + d = 180o[sum of ∠s in a Δ]
y + a + d = 180o
y + a + d = a + c + d
y = c
but b + y = 180o [sum of ∠s on a straight line ]
b + c = 180o; Ans = A = 180o

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Dicussion (1)

  • a + c + d - 180o[sum of angles in triangle]
    x = a[vertical opp. ∠s]
    y + x + d = 180o[sum of ∠s in a Δ]
    y + a + d = 180o
    y + a + d = a + c + d
    y = c
    but b + y = 180o [sum of ∠s on a straight line ]
    b + c = 180o; Ans = A = 180o

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