Question

Answer question number 14 all bits
1st and correct answer will be marked as brainliest

Answer in steps
OKAY

Answer 1

Answer:

i) Clearly, The base is a straight line.

So, 108° + the angle inside the triangle = 180°

the angle inside = 180 - 108 = 72°

Similarly, the other inside angle = 180 - 116

= 64°

Sum of angles of a triangle = 180°

So, 72° + 64° + x = 180°

x = 180° -(72° + 64°) = 180 - 136°

x = 44°

ii) the angle at the top = 60°( As they are Vertically Opposite Angles)

The other angle = 180 - 115 = 65°

x = 180° - ( 60° + 65°) = 180°- 125°

x = 55°

iii) The left and right lines are parallel, and the line connecting them acts as the transversal.

So, the unmarked angle inside the triangle = 65° (Because it and the 65° angle are alternate interior angles)

x = 180° - (65° + 35°) = 180°- 100°

x = 80°

iv) As the base is a straight line, x + 87° = 180°

x = 180 - 87 = 93°

In the right-most triangle, the unmarked angle = 180 - 75 = 105°

z = 180 - (105 + 42) = 180 - 147

z = 33°

In the left-most triangle, the unmarked angle = 180 - 126 = 54°

y = 180 - (54 + x) = 180-(54 +93)

y = 180 - 147 = 33°

v) Let the unmarked angle beside y be 'a'

a + 136 + 55 +70 = 360° [Angle sum of a quadrilateral]

a = 360 - 261 = 99°

z = 180 -136 = 44°

y = 180 - a = 180 - 99

y = 81°

x + y + z = 180°

x = 180 - (y + z) = 180 - ( 44 + 81)

x = 180 - 125 = 55°