Question

In the figure below determine the value of /_1 and /_2.

46

Answer 1

In
ABCF
,
LCFD
is exterior angle which is equals to sum of interior angles

LCFD= LCBF + ZFCB

→ 60° = 224329

22 = 600 -320

28 = 22 ج

In
ΔAED
,
LEDF
is exterior angle which is equals to sum of interior angles

LEDF = LEAD + LAED

63' + LCDF = 46° +90

63' + LCDF = 136

LCDF = 136 – 63

LCDF = 73

In
ACDF
, Sum of the angles in the triangle is $180^{\circ}$

LDCF +LCDF+ZCFD = 180°

21 + 73' + 60° = 180°

21 + 133 = 180°

21 = 180° – 133

Z1 = 47°