In the figure, PQRS is a circle with ST||RQ. Find the value of x if PT = pS

muyiwa2018

7 years ago

THAI LAND

femzyprofzy

1 year ago

i really agree with what folorunso worked

FAECSB7610542

1 year ago

In the diagram above,
⟨PST = ⟨RQT = x (corresponding angles are equal)
In triangle SPT, ⟨PST = ⟨SPT = x (since |PS| = |PT| )
⟨SRQ + ⟨SPT = 180° (opposite angles of a cyclic quadrilateral are supplementary)
⟨SPT = 180° - ⟨SRQ = 180° - 110° = 70°
In triangle SPT, ⟨PST + ⟨PTS + ⟨SPT = 180°
x + x + 70° = 180° (sum of angles in a triangle)
2x = 180° - 70°
2x = 110°
x = 110/2
x = 55°