Question

3. Give reason. P/sin o, Q/sin B and R/sin y are equal
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Answer 1

Explanation:

AB//DC and BC//AD

<BAD+<ADC=115°+65°=180°

Hence <BAD and <ADC are supplementary angles

AB and CD are two lines and AD is a transverse one pair of internal angles on same side of transverse are supplementary

hence AB and CD are // lines

similarly <CBA<BAD =65°+115=180°

therefore <CBA and BAD are supplementary angles

therefore BC and AD are two lines and BA is a transverse one pair of interior angles on one side of transversal are supplementary