In figure 2.7 , line l || line m and line n || line p. Find ∠a , ∠b , ∠c from the given measure of an angle.
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Given
- Figure 2.7
- Line l || m
- Line p || n
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To Find
- The measure of ∠a, ∠b and ∠c .
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Solution
[View the attachment for the figure.]
Here the value of ∠x is 45° because it is the corresponding angle.
We know that the sum of linear pairs is 180, so -:
➵∠x + ∠b = 180°
➵∠45 + ∠b = 180°
➵∠b = 180°- 45°
➵∠b = 135°
Since ∠b is vertically opposite to ∠b, they will have the same value.
➵∠a = ∠b
➵∠a = 135°
Since ∠c is vertically opposite to ∠a, it will have the same value of that of ∠a.
➵∠c = ∠a
➵∠c = 135°
∴ ∠a = 135°
∴ ∠b = 135°
∴ ∠c = 135°
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