Question

From the adjacent figure if <CQP=80degree then<APQ=
a) 100degree b) 10degree c) 180degree d) 90degree​

Answer 1

Answer: ∠APQ=100°.  

Step-by-step explanation:

• We can see in the figure that AB and CD are a pair of parallel lines.
• And ∠CQP=80° (given)
• We can see clearly that ∠CQP and ∠APQ is a pair of allied angle or co-interior angle and the sum of co-interior angle is 180°.
• ∠CQP+∠APQ=180°

   ⇒ ∠APQ=180°-80°

   ∴ ∠APQ=100°

• Hence,the required angle ∠APQ is 100°.