Question

uestion: 18)
In the figure given alongside, find the values of x and y.
0
130-
B
C
D​

Answer 1

Answer:

x = 62, y = 50

Step-by-step explanation:

Angle BCD = 180 ( straight line)

y + 130 = 180

y = 50

Triangle ABC = 180

68 + x + y = 180

68 + x + 50 = 180

x + 118 = 180

x = 62

Answer 2

Answer:

Given :-

ABC is triangle and /_ACD is an exterior angle.

/_ABC = 68° and /_ACD =130°.

To find :- Measure of /_x and /_y.

Solution :-

ABC is triangle and /_ACD is an exterior angle.

............(Given)

Therefore,

/_ACD = /_ABC + /_BAC

130° = 68° + /_x

/_x = 130° - 68°

/_x = 62°

/_ACB + /_ACD = 180°

..............(Angles in linear pair.)

/_y + 130° = 180°

/_y = 180° - 130°

/_y = 50°

Answer :- /_x = 62° and /_y = 50°.

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