Question

find the value of x in each of the following diagrams ​

Answer 1

Answer:

IN 1. the value of x will be 40 as

115=2x-5+x ( exterior angle is equal to the sum of opposite angle of triangle)

115=3x-5

115+5=3x

120=3x

x=120/3x

x=40

IN 2.t he value of x will be 55

as 80 + 45(alternate interior angle )+x=180

x= 55

IN 3. the value of x is 13 as

72+45+50+x=180

167+x=180

x=13

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Answer 2

Figure 1 - X= 2x-5+X= 115°

X=3x-5=115°

X=3x= 115+5=120°

X =120÷3 = 40

2X-5= 40×2-5=75°

X=40°

Angles are 75°, 40°,65°

Figure 2:- X= 180-(80+45)(When a line is cut by transversally)

=55°

Figure 3:-

180-(50+72+45)

=13°