In the diagram, if PS = SR and PQ||SQ, what is the size of PQR?

mdy

6 years ago

this is totally wrong, is it a cyclic quadrilateral?

DidiM

1 year ago

this is not a cyclic quadrilateral.
ps = sr so the two other angles of of that triangle are equal.
therefore 180 - 130 = 50
50/2 = 25 for each angle.

alternate angles in parallel lines means the angle in the 100° triangle will be 25° as well.

angles of a triangle= 180°
180 - (100 + 25) = 55°
the answer is 55°

jomigori

3 years ago

the diagram is not showing

aliyusaadbaloni

3 years ago

Not complete

TolusLastDance

2 months ago

this question is unsolvable

TolusLastDance

2 months ago

without a circle

Oketolu

1 year ago

That is in a cyclic quadrilateral, which is not in this case. We first need to find the base angles of the small triangle which gives 25°. After this we can utilise alternate angles to get the second angle of the larger triangle. Using this 25° and the 100°, we can proceed to obtain the third angle which gives 55°.

kodsam

3 years ago

so what's the answer then???

eb.u.k.a

4 years ago

Its not a cyclic quadrilateral.

Bunsgea

3 months ago

myschool kindly correct this, it isn't a cyclic quad

Jakeoliver

10 months ago

The question is wrong