Question

find the value of the unknown angle in the following figures. ​

Answer 1

Answer:

1 by angle sum property,sum of all angles of triangles is 180°.

180-(70+50)

180-120= 60°.

60° and y are in linear pair.

sum of angles that are in linear pair is 180°.

60+y= 180

y= 180-60

y= 120°.

2. 93 ° and the other adjacent angle are linear pairs.(take it as y)

93+y= 180°.

y= 180-93

y= 87°.

(triangle)

30°+y+x= 180°.

30+87+x= 180

117+x= 180

x= 180-117

x= 63°.

3.take the other unknown angle as y.

69+y+z= 180°.(angle sum property).....(1)

y and 138° are linear pairs.

y+138=180

y= 180-138

y= 42°.

by putting the value of y in equation 1.

69+42+z= 180

111+z= 180

z= 180-111

z= 69°.

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