Question

find x in each of the following figures.​

Answer 1

Answer:

i) x = 20 ii) x = 18 iii) x = 45 iv) x = 60 v) x = 50

Step-by-step explanation:

i) a triangle has a sum 180 degrees in its interior angles.

4x + 2x + 3x = 180

9x = 180

x= 20

ii) a triangle has a sum 180 degrees in its interior angles.

a right angle is 90 degrees.

2x + 3x + 90 = 180

-90                     -90

2x + 3x = 90

5x = 90

x = 18

iii) a triangle has a sum 180 degrees in its interior angles.

angles on a straight line add up to 180 degrees.

180 - 120 = 60

60 + x + x + 30 = 180

90 + 2x = 180

-90            -90

2x = 90

x = 45

iv)

* isosceles triangle *

the two dashes on the two sides, indicate they are the same length.

a triangle has a sum 180 degrees in its interior angles.

angles on a straight line add up to 180 degrees.

180 - 120 = 60

60 + 60 + x = 180

120 + x = 180

-120        -120

x = 60

v) a triangle has a sum 180 degrees in its interior angles.

angles on a straight line add up to 180 degrees.

180 - 130 = 50

180 - 100 = 80

50 + 80 + x = 180

130 + x = 180

-130       -130

x = 50

Answer 2

Answer:

I hope this is helpful for you.