Question

7. In the given figure, EAD I BCD. Ray
FAC cuts ray EAD at a point A such that
LEAF = 30°. Also, in ABAC, BAC = x° and
LABC = (x + 10). Then, the value of x is
(a) 20
(b) 25
(c) 30
(d) 35
to
(x + 10)
B
C D​

Answer 1

Answer:

Option (b) x = 25º

Step-by-step explanation:

LEAF = LDAC [Vertically Opposite Angles]

In ∆ACD,

LDAC + LCDA + LACD = 180º [ASP of ∆]

30º + 90º + LACD = 180º

LACD = 60º

LACD + LACB = 180º {Straight Angle}

60º + LACB = 180º

LACB = 120º

In ∆ABC,

LCAB + LCBA + LABC = 180º {ASP of ∆}

xº + (x + 10)º + 120º = 180º

xº = 25º