In the given figure, if AB||DE, BPQ = (5x-20)0 and PQD=(2x-10)0 , find the value of y andz - Maths - Lines and Angles

Question

In the given figure, if AB||DE, ∠BPQ = (5x-20)0 and
∠PQD=(2x-10)0 , find the value of y andz

Lovina Kansal · Accepted Answer

Dear student
Since AB is a straight line
Therefore, ∠APQ+∠BPQ=180°     Linear pair∠APQ+5x-20°=180°∠APQ+5x=200°     
(1)Also,∠APQ=∠PQD    Alternate interior angle∠APQ=2x-10°Substitute this value in eq(1), we get2x-10°+5x=200°7x=210°x=30°And∠BPQ=5x-20°=150°-20°=130°and ∠PQD=2x-10°=60°-10°=50°Here y and z are not labelled in the figure
Regards

In the given figure, if AB||DE, ∠BPQ = (5x-20)0 and ∠PQD=(2x-10)0 , find the value of y andz