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Question

Consider the figure:

If 1 = 80, 2 = 70, and x = 10+y, then find the value of x (in degrees).


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A
70
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B
x=70
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C
x=80
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D
x=60
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Solution

The correct option is C x=80

Given, 1 = 80
Hence, 2 = 70
We know that C+1+2=180
x+y+C=180 [Angle sum property of the triangle]
Substiuting the given values, we have,
1 = 80
2 = 70
C=180 - [1+2]
C=180 - [80+70]

​​ C=30

According to the question:-
x = 10+y
also,C+x+y=180...........................................[angle sum property of the triangle]
30+10+y+y=180

30+10+2y=180
y=70

and x=10+70
x=80


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