Question

plz answer I'll mark your ans as a brainlist​

Answer 1

Step-by-step explanation:

angle SPQ is 100°

in cyclic quadrilateral, exterior angle is equal to interior opposite angle

Answer 2

Answer

• ∠SPQ is 80°

Explanation

Given

✭ PQRS is a cyclic parallelogram

✭ ∠QRT = 100°

To Find

◈ ∠SPQ = ?

Solution

Concept Used

»» In a parallelogram opposite angles are equal

»» In a linear pair the angles add up to 180°

━━━━━━━━━━

Finding ∠QRS

➝ ∠QRT + ∠QRS = 180°

• ∠QRT = 100° [given]

➝ 100° + ∠QRS = 180°

➝ ∠QRS = 180° - 100°

➝ ∠QRS = 80°

Finding ∠SPQ

➝ ∠QRS = ∠SPQ

➝ 80° = ∠SPQ

NOTE : We took that PQRS as a parallelogram as it is given that PQRS is cyclic

»» In a parallelogram opposite sides are equal

»» In a parallelogram opposite angles are equal

»» Angles in a parallelogram add up to 360°

»» Opposite sides are equal

»» Adjacent Angles add up to 180°