Question

2. In the given figures, apply appropriate mathematics and find the missing values. State, the reason to support your answer.

Please give the reason and solve for e

Answer 1

Answer:

a 115 c 28 d x= 63

Step-by-step explanation:

for a)

the value of straight line is 180 degree

they are adjecent angles so the their sum will be equal to 180

. let the other angle to be x

so, 180 = x + 65

180-65 = 115

for b)

the green square shows the angle is 90 degree

so the sum of both angles will be 90

let the other angle to be x

so , 90 = x +62

90 - 62 = x

28 = x

for c)

this is a vertical opposite angle  

so both the angles will be equal

68 = x+5

68 - 5 = x

63 = x

Answer 2

Answer:

b. 65° + x° = 180°...[angles in linear pair ] (have

sum 180°)

x°= 180°- 65°

x = 115°

c. 62° + x° = 90°...[supplementary angles] (have

sum 90°)

x°= 90° - 62°

x = 28°

e. 68° = (x + 5)°...[vertically opposite angle] (have

same measures)

x = (68 - 5)°

x = 63°