Question

3. UNDERSTANDING QUADRILATERALS
6) Find the values of x in the following figures :
(i)
80
ON
50°
60
50​

Answer 1

Answer:

x = 35

Step-by-step explanation:

60 and angle a is in Linear pair

so,

60 + a =180

a = 120

50 and angle b is in a Linear Pair

so,

50 + b = 180

b = 130

Now, we know

Angle Sum of a Quadrilateral is 360

so,

40 + 120 + 130 + x + x = 360

290 + 2x = 360

2x = 70

x = 35

Answer 2

Answer:

x° = 35°

Step-by-step explanation:

first step:

180 - 50 = 130°

180 - 60 = 120°

second step:

so, angle sum = 360°

40° + 120° + 130° + x° + x° = 360°

290° + 2x° = 360°

2x° = 360° - 290°

2x° = 70°

x° = 70 / 2

x° = 35°

To check:

40° + 130° + 120° + 35° + 35° = 360°