CBSE Class 7 Answered
In the figure below, AP is parallel to CD. The size w of angle PAB is equal to 135o and the size z of angle DCB is equal to 147o. Find angle ABC.
Asked by Topperlearning User | 14 Oct, 2014, 08:56: AM
Expert Answer
Draw BS parallel to AP and CD as shown in the figure below.
ABC = ABS + CBS
w' and ABS are alternate interior angles So, ABS = w'
z' and CBS are alternate interior angles So, CBS = z'
Angles w and w' are supplementary which gives w' = 180o - w = 180o - 135o = 45o
Angles z and z' are also supplementary which gives z' = 180o - z = 180o - 147o = 33o
Therefore, we have:
ABC = ABS + CBS
ABC = w' + z' = 45o + 33o = 78o
Answered by | 14 Oct, 2014, 10:56: AM
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