Answer:
Q1: 15°
Q2: 37°
Q3: 11°
Step-by-step explanation:
Q1.
CAB = 180 - 8x (straight line)
Similarly, CBA = 180 - 9x
(180 - 8x) + (180 - 9x) + 5x = 180
(Angles in a triangle add to 180)
180 - 8x + 180 - 9x + 5x = 180
360 - 12x = 180
12x = 180
x = 15.
Q2: To find the reflex angle for ABC,
we take 360 - 5x (angles in a point add to 360)
A quadrilateral has 360° in total.
Therefore,
79 + 32 + 2x + (360 - 5x) = 360
79 + 32 + 2x + 360 - 5x = 360
471 + 2x - 5x = 360
471 - 3x = 360
3x = 111
x = 37°
Q3:
BFE = 180 - 147 = 33
FEB = 180 - 4x
x + 33 + 180 - 4x = 180
213 - 3x = 180
3x = 33
x = 11
