question no. 7
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Given
AB || CF
CD || FE
angle ABC = angle BCA
FIND - X
By angle sum property
angle BAC + angle ABC + angle BCA =180°
angle BAC + 40° + 65° = 180°
angle BAC + 105° = 180°
angle BAC = 180° - 105°
angle BAC = 75°
Also,
angle BAC = angle FCD = 75° -(interior opposite angles are equal )
And,
angle FCD + angle CFE = 180°
{interior opposite angles of same side is equal to 180°}
75° + x = 180°
x = 180° - 75°
x = 105°
Hope it helps you...
AB || CF
CD || FE
angle ABC = angle BCA
FIND - X
By angle sum property
angle BAC + angle ABC + angle BCA =180°
angle BAC + 40° + 65° = 180°
angle BAC + 105° = 180°
angle BAC = 180° - 105°
angle BAC = 75°
Also,
angle BAC = angle FCD = 75° -(interior opposite angles are equal )
And,
angle FCD + angle CFE = 180°
{interior opposite angles of same side is equal to 180°}
75° + x = 180°
x = 180° - 75°
x = 105°
Hope it helps you...
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