C 8. In the given figure, if lines PQ and RS Intersect at a point I such that angle PRT = 35°, angle RPT = 90° and angle TSQ = 850, then find angleSQT.
Answers
Answer:
Easy answer!!!!
As we know that the whole figure we see thet two triangles are formed!!
Now let's take it easily and understand it by steps by steps!!
In the figure when these line intersect we see that 2 triangles are formed!!
i.e. Triangle PRT AND TRIANGLE STQ
Triangle PRT,
lets look in this triangle very properly!!
We will notice that two of the angles have been already given but what about the third one??
It is also very easy to find that angle because we know that All the angles of the triangles sum up to 180°.
As two of the angles are already given the angle of third side will be
ki
That is
180°-90°+35°
=180°-125°
=55°
Now,
As we got the angle PTR IS 55°
We can easily find out the angle of STQ
because we know the vertically opposite angles have the same measure!!
TRIANGLE STQ,
As we now know the measure of the two sides of the triangle(55° and 85°)
We can find out the last angle very easily!!!
we know that All the angles of the triangles sum up to 180° so again we have to
Which will result as
180°-85°+55°
=180°-140°
=40°
Therefore it is easily solved!!!!
Angle PTR=55°
ANGLE STQ=55°
Angle SQT= 40°
sorry for delay and hope it helps you!!