P, Q, R and S are four points on a circle. PTR and QTS are straight lines.
Triangle PTS is an equilateral triangle.
Prove that triangle PQR and
triangle SRQ are congruent.
S
Note: The reason for any statement has to be written on the same line (eg. angle ABC = angle BDE because...)
Total marks: 4

Triangle PTS is an equilateral triangle because all sides are equal lengths.

Angle TPS and angle TSP are equal because it is an equilateral triangle.

Triangle PQS and triangle SRP are congruent because of the side-angle-side theorem.

Segment PQ is congruent to segment SR because congruent sides of congruent triangles are congruent.

Segment PR is congruent to segment SQ because congruent sides of congruent triangles are congruent.

Triangle PQR and triangle SRQ are congruent because of the side-side-side theorem.

b is 38 degrees.

a is 52 degrees.

this is because if b is 38 and a is 14 degrees more than b than 38+14=52 and 52+38=90 degrees. hope this .

56

step-by-step explanation: