Question

In the given figure, find angle QTS and angle SQT?​

Answer 1

Step-by-step explanation:

In triangle PRT, by using angle sum property

angle PRT+RPT+PTR=180°

40°+95°+PTR=180°

135°+PTR=180°

PTR=180°-135°

PTR=45°

Now, PTR=STQ (Vertically opposite angles)

45°=STQ

Also,

In triangle SQT, by using angle sum property

SQT+TSQ+STQ=180°

45°+75°+STQ=180°

120°+STQ=180°

STQ=180°-120°

Hence, STQ=60°

Answer 2

Answer:

180°=95°+40°+x

180°=135°+x

180°-135°=x

45°=x ( angle QTS)

so, opposite interior angles are equal so angle t in both side are equal

then we have two angles we can find third angle

now, ( we find angle SQT)

180°=75°+45°+y

180°=120°+y

180°- 120°=y

60°=Y ( angle SQT)

Step-by-step explanation:

I hope it's help you